40095042624 has 672 divisors, whose sum is σ = 147115987200. Its totient is φ = 10371981312.

The previous prime is 40095042541. The next prime is 40095042643. The reversal of 40095042624 is 42624059004.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×40095042624² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 172081612 + ... + 172081844.

It is an arithmetic number, because the mean of its divisors is an integer number (218922600).

Almost surely, 2^40095042624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40095042624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73557993600).

40095042624 is an abundant number, since it is smaller than the sum of its proper divisors (107020944576).

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

40095042624 is a wasteful number, since it uses less digits than its factorization.

40095042624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40095042624 in words is "forty billion, ninety-five million, forty-two thousand, six hundred twenty-four".