1016016400 has 60 divisors (see below), whose sum is σ = 2789698432. Its totient is φ = 348347520.

The previous prime is 1016016389. The next prime is 1016016473. The reversal of 1016016400 is 46106101.

It is a happy 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, 178632 + ... + 184231.

Almost surely, 2^1016016400 is an apocalyptic number.

1016016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1016016400 is an abundant number, since it is smaller than the sum of its proper divisors (1773682032).

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

1016016400 is a wasteful number, since it uses less digits than its factorization.

1016016400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362888 (or 362877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1016016400 is about 31875.0121568604. The cubic root of 1016016400 is about 1005.3105481557.

The spelling of 1016016400 in words is "one billion, sixteen million, sixteen thousand, four hundred".