40181357113600 has 216 divisors, whose sum is σ = 102900173733000. Its totient is φ = 15515972075520.

The previous prime is 40181357113591. The next prime is 40181357113621. The reversal of 40181357113600 is 631175318104.

It can be written as a sum of positive squares in 12 ways, for example, as 5734224101376 + 34447133012224 = 2394624^2 + 5869168^2 .

It is a super-2 number, since 2×40181357113600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1709178646 + ... + 1709202154.

Almost surely, 2^{40181357113600} is an apocalyptic number.

40181357113600 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 40181357113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51450086866500).

40181357113600 is an abundant number, since it is smaller than the sum of its proper divisors (62718816619400).

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

40181357113600 is a wasteful number, since it uses less digits than its factorization.

40181357113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32773 (or 32754 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 40181357113600 in words is "forty trillion, one hundred eighty-one billion, three hundred fifty-seven million, one hundred thirteen thousand, six hundred".