1125974006640 has 180 divisors, whose sum is σ = 4398766958664. Its totient is φ = 257365479168.

The previous prime is 1125974006603. The next prime is 1125974006699. The reversal of 1125974006640 is 466004795211.

1125974006640 is a `hidden beast` number, since 1 + 12 + 597 + 4 + 0 + 0 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×1125974006640⁴ (a number of 49 digits) contains 4444 as substring.

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15922402 + ... + 15992961.

Almost surely, 2^{1125974006640} is an apocalyptic number.

1125974006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125974006640 is an abundant number, since it is smaller than the sum of its proper divisors (3272792952024).

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

1125974006640 is a wasteful number, since it uses less digits than its factorization.

1125974006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31915396 (or 31915380 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1125974006640 in words is "one trillion, one hundred twenty-five billion, nine hundred seventy-four million, six thousand, six hundred forty".