4042415546400 has 576 divisors, whose sum is σ = 16443243565056. Its totient is φ = 838017024000.

The previous prime is 4042415546363. The next prime is 4042415546431. The reversal of 4042415546400 is 46455142404.

It is a super-2 number, since 2×4042415546400² (a number of 26 digits) contains 22 as substring.

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, 79623424 + ... + 79674176.

It is an arithmetic number, because the mean of its divisors is an integer number (28547297856).

Almost surely, 2^{4042415546400} is an apocalyptic number.

4042415546400 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 4042415546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221621782528).

4042415546400 is an abundant number, since it is smaller than the sum of its proper divisors (12400828018656).

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

4042415546400 is a wasteful number, since it uses less digits than its factorization.

4042415546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51225 (or 51212 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 39.

The spelling of 4042415546400 in words is "four trillion, forty-two billion, four hundred fifteen million, five hundred forty-six thousand, four hundred".