4053151478880 has 768 divisors, whose sum is σ = 16567649280000. Its totient is φ = 925081565184.

The previous prime is 4053151478809. The next prime is 4053151478881. The reversal of 4053151478880 is 888741513504.

4053151478880 is a `hidden beast` number, since 4 + 0 + 53 + 1 + 514 + 78 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053151478881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1299501961 + ... + 1299505079.

It is an arithmetic number, because the mean of its divisors is an integer number (21572460000).

Almost surely, 2^{4053151478880} is an apocalyptic number.

4053151478880 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 4053151478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283824640000).

4053151478880 is an abundant number, since it is smaller than the sum of its proper divisors (12514497801120).

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

4053151478880 is a wasteful number, since it uses less digits than its factorization.

4053151478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 4053151478880 in words is "four trillion, fifty-three billion, one hundred fifty-one million, four hundred seventy-eight thousand, eight hundred eighty".