40675893120 has 640 divisors, whose sum is σ = 155642493600. Its totient is φ = 10092625920.

The previous prime is 40675893109. The next prime is 40675893143. The reversal of 40675893120 is 2139857604.

40675893120 is a `hidden beast` number, since 4 + 0 + 67 + 589 + 3 + 1 + 2 + 0 = 666.

40675893120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×40675893120² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 60082222 + ... + 60082898.

It is a 1-persistent number, because it is pandigital, but 2⋅40675893120 = 81351786240 is not.

Almost surely, 2^40675893120 is an apocalyptic number.

40675893120 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 40675893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77821246800).

40675893120 is an abundant number, since it is smaller than the sum of its proper divisors (114966600480).

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

40675893120 is a wasteful number, since it uses less digits than its factorization.

40675893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 767 counting only the distinct ones).

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

The spelling of 40675893120 in words is "forty billion, six hundred seventy-five million, eight hundred ninety-three thousand, one hundred twenty".