40079431065600 has 672 divisors, whose sum is σ = 147441463856640. Its totient is φ = 10673649745920.

The previous prime is 40079431065551. The next prime is 40079431065607. The reversal of 40079431065600 is 656013497004.

40079431065600 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 9 + 4 + 31 + 0 + 6 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40079431065607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4550856397 + ... + 4550865203.

Almost surely, 2^{40079431065600} is an apocalyptic number.

40079431065600 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 40079431065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73720731928320).

40079431065600 is an abundant number, since it is smaller than the sum of its proper divisors (107362032791040).

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

40079431065600 is an equidigital number, since it uses as much as digits as its factorization.

40079431065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9640 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 40079431065600 in words is "forty trillion, seventy-nine billion, four hundred thirty-one million, sixty-five thousand, six hundred".