13016232599040 has 1440 divisors, whose sum is σ = 54749819412288. Its totient is φ = 2840474419200.

The previous prime is 13016232599011. The next prime is 13016232599059. The reversal of 13016232599040 is 4099523261031.

13016232599040 is a `hidden beast` number, since 1 + 3 + 0 + 16 + 2 + 3 + 2 + 599 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×13016232599040² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1090039470 + ... + 1090051410.

Almost surely, 2^{13016232599040} is an apocalyptic number.

13016232599040 is a gapful number since it is divisible by the number (10) 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 13016232599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27374909706144).

13016232599040 is an abundant number, since it is smaller than the sum of its proper divisors (41733586813248).

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

13016232599040 is a wasteful number, since it uses less digits than its factorization.

13016232599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13016232599040 in words is "thirteen trillion, sixteen billion, two hundred thirty-two million, five hundred ninety-nine thousand, forty".