4040058470400 has 552 divisors, whose sum is σ = 14853874187040. Its totient is φ = 1076593950720.

The previous prime is 4040058470387. The next prime is 4040058470423. The reversal of 4040058470400 is 40748500404.

4040058470400 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 0 + 584 + 70 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2831154487 + ... + 2831155913.

Almost surely, 2^{4040058470400} is an apocalyptic number.

4040058470400 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 4040058470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7426937093520).

4040058470400 is an abundant number, since it is smaller than the sum of its proper divisors (10813815716640).

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

4040058470400 is an frugal number, since it uses more digits than its factorization.

4040058470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 4040058470400 in words is "four trillion, forty billion, fifty-eight million, four hundred seventy thousand, four hundred".