40024199704320 has 864 divisors, whose sum is σ = 156400496179200. Its totient is φ = 9376241909760.

The previous prime is 40024199704309. The next prime is 40024199704369. The reversal of 40024199704320 is 2340799142004.

40024199704320 is a `hidden beast` number, since 4 + 0 + 0 + 24 + 199 + 7 + 0 + 432 + 0 = 666.

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

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, 685422325 + ... + 685480715.

It is an arithmetic number, because the mean of its divisors is an integer number (181019092800).

Almost surely, 2^{40024199704320} is an apocalyptic number.

40024199704320 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 40024199704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78200248089600).

40024199704320 is an abundant number, since it is smaller than the sum of its proper divisors (116376296474880).

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

40024199704320 is a wasteful number, since it uses less digits than its factorization.

40024199704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58653 (or 58636 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 40024199704320 in words is "forty trillion, twenty-four billion, one hundred ninety-nine million, seven hundred four thousand, three hundred twenty".