40213656000 has 672 divisors, whose sum is σ = 166805628288. Its totient is φ = 9057484800.

The previous prime is 40213655983. The next prime is 40213656071. The reversal of 40213656000 is 65631204.

40213656000 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 3 + 656 + 0 + 0 + 0 = 666.

40213656000 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 (672).

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, 36791454 + ... + 36792546.

Almost surely, 2^40213656000 is an apocalyptic number.

40213656000 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 40213656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83402814144).

40213656000 is an abundant number, since it is smaller than the sum of its proper divisors (126591972288).

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

40213656000 is a wasteful number, since it uses less digits than its factorization.

40213656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 40213656000 in words is "forty billion, two hundred thirteen million, six hundred fifty-six thousand".