1130790299400 has 384 divisors, whose sum is σ = 3953867472000. Its totient is φ = 297015828480.

The previous prime is 1130790299393. The next prime is 1130790299411. The reversal of 1130790299400 is 49920970311.

1130790299400 is a `hidden beast` number, since 1 + 130 + 7 + 90 + 29 + 9 + 400 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99456916 + ... + 99468284.

It is an arithmetic number, because the mean of its divisors is an integer number (10296529875).

Almost surely, 2^{1130790299400} is an apocalyptic number.

1130790299400 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 1130790299400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976933736000).

1130790299400 is an abundant number, since it is smaller than the sum of its proper divisors (2823077172600).

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

1130790299400 is a wasteful number, since it uses less digits than its factorization.

1130790299400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11670 (or 11655 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 1130790299400 in words is "one trillion, one hundred thirty billion, seven hundred ninety million, two hundred ninety-nine thousand, four hundred".