40795747200 has 480 divisors, whose sum is σ = 162139075560. Its totient is φ = 10041200640.

The previous prime is 40795747193. The next prime is 40795747247. The reversal of 40795747200 is 274759704.

40795747200 is a `hidden beast` number, since 4 + 0 + 7 + 9 + 574 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3363547 + ... + 3375653.

Almost surely, 2^40795747200 is an apocalyptic number.

40795747200 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 40795747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81069537780).

40795747200 is an abundant number, since it is smaller than the sum of its proper divisors (121343328360).

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

40795747200 is a wasteful number, since it uses less digits than its factorization.

40795747200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 40795747200 in words is "forty billion, seven hundred ninety-five million, seven hundred forty-seven thousand, two hundred".