1040416152400 has 60 divisors (see below), whose sum is σ = 2499956224704. Its totient is φ = 416107120000.

The previous prime is 1040416152383. The next prime is 1040416152467. The reversal of 1040416152400 is 42516140401.

1040416152400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2678535 + ... + 3042265.

Almost surely, 2^{1040416152400} is an apocalyptic number.

1040416152400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040416152400 is an abundant number, since it is smaller than the sum of its proper divisors (1459540072304).

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

1040416152400 is a wasteful number, since it uses less digits than its factorization.

1040416152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370900 (or 370889 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 1040416152400 in words is "one trillion, forty billion, four hundred sixteen million, one hundred fifty-two thousand, four hundred".