40144101032400 has 120 divisors (see below), whose sum is σ = 131330999647104. Its totient is φ = 10477325644800.

The previous prime is 40144101032389. The next prime is 40144101032407. The reversal of 40144101032400 is 423010144104.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40144101032400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40144101032407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355831021 + ... + 355943820.

Almost surely, 2^{40144101032400} is an apocalyptic number.

40144101032400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40144101032400 is an abundant number, since it is smaller than the sum of its proper divisors (91186898614704).

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

40144101032400 is a wasteful number, since it uses less digits than its factorization.

40144101032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711774909 (or 711774898 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40144101032400 its reverse (423010144104), we get a palindrome (40567111176504).

The spelling of 40144101032400 in words is "forty trillion, one hundred forty-four billion, one hundred one million, thirty-two thousand, four hundred".