40642398720 has 960 divisors, whose sum is σ = 181394104320. Its totient is φ = 8161689600.

The previous prime is 40642398701. The next prime is 40642398737. The reversal of 40642398720 is 2789324604.

40642398720 is a `hidden beast` number, since 406 + 4 + 239 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 54996111 + ... + 54996849.

It is an arithmetic number, because the mean of its divisors is an integer number (188952192).

Almost surely, 2^40642398720 is an apocalyptic number.

40642398720 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 40642398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90697052160).

40642398720 is an abundant number, since it is smaller than the sum of its proper divisors (140751705600).

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

40642398720 is a wasteful number, since it uses less digits than its factorization.

40642398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 40642398720 in words is "forty billion, six hundred forty-two million, three hundred ninety-eight thousand, seven hundred twenty".