40164513600 has 168 divisors, whose sum is σ = 137502717120. Its totient is φ = 10244833280.

The previous prime is 40164513563. The next prime is 40164513607. The reversal of 40164513600 is 631546104.

It is a super-2 number, since 2×40164513600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40164513607) 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, 71505 + ... + 292304.

Almost surely, 2^40164513600 is an apocalyptic number.

40164513600 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 40164513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68751358560).

40164513600 is an abundant number, since it is smaller than the sum of its proper divisors (97338203520).

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

40164513600 is a wasteful number, since it uses less digits than its factorization.

40164513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363857 (or 363842 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 40164513600 in words is "forty billion, one hundred sixty-four million, five hundred thirteen thousand, six hundred".