4013755587072 has 1680 divisors, whose sum is σ = 15528642871104. Its totient is φ = 1024192512000.

The previous prime is 4013755587043. The next prime is 4013755587103. The reversal of 4013755587072 is 2707855573104.

4013755587072 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 7 + 55 + 587 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×4013755587072² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 14283827572 + ... + 14283827852.

Almost surely, 2^{4013755587072} is an apocalyptic number.

4013755587072 is a gapful number since it is divisible by the number (42) 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 4013755587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764321435552).

4013755587072 is an abundant number, since it is smaller than the sum of its proper divisors (11514887284032).

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

4013755587072 is an equidigital number, since it uses as much as digits as its factorization.

4013755587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 4013755587072 in words is "four trillion, thirteen billion, seven hundred fifty-five million, five hundred eighty-seven thousand, seventy-two".