1117842566400 has 486 divisors, whose sum is σ = 4649047443222. Its totient is φ = 255506227200.

The previous prime is 1117842566387. The next prime is 1117842566413. The reversal of 1117842566400 is 46652487111.

1117842566400 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 8 + 42 + 566 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1117842566387) and next prime (1117842566413).

It can be written as a sum of positive squares in 3 ways, for example, as 90230547456 + 1027612018944 = 300384^2 + 1013712^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2624370 + ... + 3020430.

Almost surely, 2^{1117842566400} is an apocalyptic number.

1117842566400 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 1117842566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324523721611).

1117842566400 is an abundant number, since it is smaller than the sum of its proper divisors (3531204876822).

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

1117842566400 is a wasteful number, since it uses less digits than its factorization.

1117842566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396107 (or 396078 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1117842566400 in words is "one trillion, one hundred seventeen billion, eight hundred forty-two million, five hundred sixty-six thousand, four hundred".