40451345820 has 72 divisors (see below), whose sum is σ = 125017585056. Its totient is φ = 10583494272.

The previous prime is 40451345801. The next prime is 40451345867. The reversal of 40451345820 is 2854315404.

It is a happy number.

40451345820 is a `hidden beast` number, since 4 + 0 + 45 + 1 + 34 + 582 + 0 = 666.

40451345820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40451345820² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2110552 + ... + 2129631.

It is an arithmetic number, because the mean of its divisors is an integer number (1736355348).

Almost surely, 2^40451345820 is an apocalyptic number.

It is an amenable number.

40451345820 is an abundant number, since it is smaller than the sum of its proper divisors (84566239236).

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

40451345820 is a wasteful number, since it uses less digits than its factorization.

40451345820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240251 (or 4240246 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40451345820 in words is "forty billion, four hundred fifty-one million, three hundred forty-five thousand, eight hundred twenty".