40812145920 has 1152 divisors, whose sum is σ = 187904102400. Its totient is φ = 8145764352.

The previous prime is 40812145919. The next prime is 40812145931. The reversal of 40812145920 is 2954121804.

40812145920 is a `hidden beast` number, since 40 + 8 + 1 + 21 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59753899 + ... + 59754581.

It is an arithmetic number, because the mean of its divisors is an integer number (163111200).

Almost surely, 2^40812145920 is an apocalyptic number.

40812145920 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 40812145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93952051200).

40812145920 is an abundant number, since it is smaller than the sum of its proper divisors (147091956480).

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

40812145920 is a wasteful number, since it uses less digits than its factorization.

40812145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 40812145920 in words is "forty billion, eight hundred twelve million, one hundred forty-five thousand, nine hundred twenty".