11400429058560 has 1120 divisors, whose sum is σ = 42035729041152. Its totient is φ = 2963051642880.

The previous prime is 11400429058523. The next prime is 11400429058567. The reversal of 11400429058560 is 6585092400411.

11400429058560 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 4 + 2 + 9 + 0 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11400429058567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12852794437 + ... + 12852795323.

Almost surely, 2^{11400429058560} is an apocalyptic number.

11400429058560 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 11400429058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21017864520576).

11400429058560 is an abundant number, since it is smaller than the sum of its proper divisors (30635299982592).

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

11400429058560 is an frugal number, since it uses more digits than its factorization.

11400429058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11400429058560 in words is "eleven trillion, four hundred billion, four hundred twenty-nine million, fifty-eight thousand, five hundred sixty".