4178629002240 has 1408 divisors, whose sum is σ = 18576515174400. Its totient is φ = 865377976320.

The previous prime is 4178629002211. The next prime is 4178629002241. The reversal of 4178629002240 is 422009268714.

4178629002240 is a `hidden beast` number, since 4 + 17 + 8 + 629 + 0 + 0 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×4178629002240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4178629002241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4864526931 + ... + 4864527789.

Almost surely, 2^{4178629002240} is an apocalyptic number.

4178629002240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4178629002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9288257587200).

4178629002240 is an abundant number, since it is smaller than the sum of its proper divisors (14397886172160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4178629002240 is a wasteful number, since it uses less digits than its factorization.

4178629002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4178629002240 in words is "four trillion, one hundred seventy-eight billion, six hundred twenty-nine million, two thousand, two hundred forty".