40345905600 has 1680 divisors, whose sum is σ = 199758214656. Its totient is φ = 7713792000.

The previous prime is 40345905541. The next prime is 40345905617. The reversal of 40345905600 is 650954304.

It is a happy number.

40345905600 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 5 + 90 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×40345905600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 129729445 + ... + 129729755.

Almost surely, 2^40345905600 is an apocalyptic number.

40345905600 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 40345905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99879107328).

40345905600 is an abundant number, since it is smaller than the sum of its proper divisors (159412309056).

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

40345905600 is a wasteful number, since it uses less digits than its factorization.

40345905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 40345905600 in words is "forty billion, three hundred forty-five million, nine hundred five thousand, six hundred".