1233116735400 has 720 divisors, whose sum is σ = 4767725054400. Its totient is φ = 295116307200.

The previous prime is 1233116735399. The next prime is 1233116735407. The reversal of 1233116735400 is 45376113321.

1233116735400 is a `hidden beast` number, since 1 + 2 + 3 + 31 + 16 + 73 + 540 + 0 = 666.

It is a super-2 number, since 2×1233116735400² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1233116735407) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 154851819 + ... + 154859781.

Almost surely, 2^{1233116735400} is an apocalyptic number.

1233116735400 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 1233116735400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383862527200).

1233116735400 is an abundant number, since it is smaller than the sum of its proper divisors (3534608319000).

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

1233116735400 is a wasteful number, since it uses less digits than its factorization.

1233116735400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8092 (or 8063 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 1233116735400 in words is "one trillion, two hundred thirty-three billion, one hundred sixteen million, seven hundred thirty-five thousand, four hundred".