1161938400 has 144 divisors (see below), whose sum is σ = 4322473344. Its totient is φ = 265582080.

The previous prime is 1161938381. The next prime is 1161938461. The reversal of 1161938400 is 48391611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17782 + ... + 51381.

It is an arithmetic number, because the mean of its divisors is an integer number (30017176).

Almost surely, 2^1161938400 is an apocalyptic number.

1161938400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161938400 is an abundant number, since it is smaller than the sum of its proper divisors (3160534944).

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

1161938400 is a wasteful number, since it uses less digits than its factorization.

1161938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69193 (or 69180 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1161938400 is about 34087.2175455844. The cubic root of 1161938400 is about 1051.3025105696.

The spelling of 1161938400 in words is "one billion, one hundred sixty-one million, nine hundred thirty-eight thousand, four hundred".