40390660800 has 504 divisors, whose sum is σ = 171286901520. Its totient is φ = 9231667200.

The previous prime is 40390660787. The next prime is 40390660813. The reversal of 40390660800 is 806609304.

40390660800 is a `hidden beast` number, since 40 + 3 + 9 + 0 + 6 + 608 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40390660787) and next prime (40390660813).

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2107260 + ... + 2126340.

Almost surely, 2^40390660800 is an apocalyptic number.

40390660800 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 40390660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85643450760).

40390660800 is an abundant number, since it is smaller than the sum of its proper divisors (130896240720).

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

40390660800 is a wasteful number, since it uses less digits than its factorization.

40390660800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19126 (or 19098 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 40390660800 in words is "forty billion, three hundred ninety million, six hundred sixty thousand, eight hundred".