40906857600 has 768 divisors, whose sum is σ = 172417536000. Its totient is φ = 9278115840.

The previous prime is 40906857583. The next prime is 40906857611. The reversal of 40906857600 is 675860904.

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

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, 144547059 + ... + 144547341.

It is an arithmetic number, because the mean of its divisors is an integer number (224502000).

Almost surely, 2^40906857600 is an apocalyptic number.

40906857600 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 40906857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86208768000).

40906857600 is an abundant number, since it is smaller than the sum of its proper divisors (131510678400).

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

40906857600 is a wasteful number, since it uses less digits than its factorization.

40906857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40906857600 in words is "forty billion, nine hundred six million, eight hundred fifty-seven thousand, six hundred".