1147940816400 has 405 divisors, whose sum is σ = 4635886461453. Its totient is φ = 262283616000.

The previous prime is 1147940816387. The next prime is 1147940816419. The reversal of 1147940816400 is 46180497411.

The square root of 1147940816400 is 1071420.

It is a perfect power (a square), and thus also a powerful number.

1147940816400 is a `hidden beast` number, since 1 + 1 + 479 + 40 + 81 + 64 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 413258693904 + 734682122496 = 642852^2 + 857136^2 .

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 80 ways as a sum of consecutive naturals, for example, 449995125 + ... + 449997675.

Almost surely, 2^{1147940816400} is an apocalyptic number.

1147940816400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1147940816400 is the 1071420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147940816400

1147940816400 is an abundant number, since it is smaller than the sum of its proper divisors (3487945645053).

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

1147940816400 is an equidigital number, since it uses as much as digits as its factorization.

1147940816400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1147940816400 in words is "one trillion, one hundred forty-seven billion, nine hundred forty million, eight hundred sixteen thousand, four hundred".