40626864000 has 768 divisors, whose sum is σ = 158865408000. Its totient is φ = 9911808000.

The previous prime is 40626863999. The next prime is 40626864017. The reversal of 40626864000 is 46862604.

It is a happy number.

40626864000 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 6 + 8 + 640 + 0 + 0 = 666.

40626864000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 84815761 + ... + 84816239.

It is an arithmetic number, because the mean of its divisors is an integer number (206856000).

Almost surely, 2^40626864000 is an apocalyptic number.

40626864000 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 40626864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79432704000).

40626864000 is an abundant number, since it is smaller than the sum of its proper divisors (118238544000).

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

40626864000 is a wasteful number, since it uses less digits than its factorization.

40626864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40626864000 in words is "forty billion, six hundred twenty-six million, eight hundred sixty-four thousand".