40797772800 has 528 divisors, whose sum is σ = 144255528960. Its totient is φ = 10139074560.

The previous prime is 40797772783. The next prime is 40797772843. The reversal of 40797772800 is 827779704.

40797772800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106521409 + ... + 106521791.

Almost surely, 2^40797772800 is an apocalyptic number.

40797772800 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 40797772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72127764480).

40797772800 is an abundant number, since it is smaller than the sum of its proper divisors (103457756160).

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

40797772800 is a wasteful number, since it uses less digits than its factorization.

40797772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 51.

The spelling of 40797772800 in words is "forty billion, seven hundred ninety-seven million, seven hundred seventy-two thousand, eight hundred".