40464569600 has 864 divisors, whose sum is σ = 134639882496. Its totient is φ = 11678515200.

The previous prime is 40464569581. The next prime is 40464569611. The reversal of 40464569600 is 696546404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 603948767 + ... + 603948833.

Almost surely, 2^40464569600 is an apocalyptic number.

40464569600 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 40464569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67319941248).

40464569600 is an abundant number, since it is smaller than the sum of its proper divisors (94175312896).

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

40464569600 is a wasteful number, since it uses less digits than its factorization.

40464569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 40464569600 in words is "forty billion, four hundred sixty-four million, five hundred sixty-nine thousand, six hundred".