1356130944 has 256 divisors, whose sum is σ = 4734432000. Its totient is φ = 373911552.

The previous prime is 1356130931. The next prime is 1356130999. The reversal of 1356130944 is 4490316531.

1356130944 is a `hidden beast` number, since 1 + 3 + 561 + 3 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×1356130944² = 3678182274548662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1356130899 and 1356130908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700602 + ... + 702534.

It is an arithmetic number, because the mean of its divisors is an integer number (18493875).

Almost surely, 2^1356130944 is an apocalyptic number.

1356130944 is a gapful number since it is divisible by the number (14) 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 1356130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367216000).

1356130944 is an abundant number, since it is smaller than the sum of its proper divisors (3378301056).

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

1356130944 is a wasteful number, since it uses less digits than its factorization.

1356130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1356130944 is about 36825.6832115848. The cubic root of 1356130944 is about 1106.8800040319.

The spelling of 1356130944 in words is "one billion, three hundred fifty-six million, one hundred thirty thousand, nine hundred forty-four".