1310990400 has 168 divisors, whose sum is σ = 4779203040. Its totient is φ = 349585920.

The previous prime is 1310990399. The next prime is 1310990419. The reversal of 1310990400 is 40990131.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 28027 + ... + 58373.

Almost surely, 2^1310990400 is an apocalyptic number.

1310990400 is a gapful number since it is divisible by the number (10) 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 1310990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389601520).

1310990400 is an abundant number, since it is smaller than the sum of its proper divisors (3468212640).

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

1310990400 is a wasteful number, since it uses less digits than its factorization.

1310990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30378 (or 30357 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1310990400 is about 36207.6014118583. The cubic root of 1310990400 is about 1094.4598574525.

It can be divided in two parts, 1310990 and 400, that added together give a triangular number (1311390 = T₁₆₁₉).

The spelling of 1310990400 in words is "one billion, three hundred ten million, nine hundred ninety thousand, four hundred".