1011314400 has 72 divisors (see below), whose sum is σ = 3291836184. Its totient is φ = 269683200.

The previous prime is 1011314371. The next prime is 1011314417. The reversal of 1011314400 is 44131101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1011314400.

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, 208291 + ... + 213090.

It is an arithmetic number, because the mean of its divisors is an integer number (45719947).

Almost surely, 2^1011314400 is an apocalyptic number.

1011314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011314400 is an abundant number, since it is smaller than the sum of its proper divisors (2280521784).

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

1011314400 is a wasteful number, since it uses less digits than its factorization.

1011314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421404 (or 421391 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1011314400 is about 31801.1697898049. The cubic root of 1011314400 is about 1003.7573314456.

Adding to 1011314400 its reverse (44131101), we get a palindrome (1055445501).

The spelling of 1011314400 in words is "one billion, eleven million, three hundred fourteen thousand, four hundred".