1125993623040 has 2400 divisors, whose sum is σ = 5010323890176. Its totient is φ = 239117598720.

The previous prime is 1125993623039. The next prime is 1125993623099. The reversal of 1125993623040 is 403263995211.

1125993623040 is a `hidden beast` number, since 1 + 1 + 2 + 599 + 36 + 23 + 0 + 4 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 8866091457 + ... + 8866091583.

Almost surely, 2^{1125993623040} is an apocalyptic number.

1125993623040 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 1125993623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505161945088).

1125993623040 is an abundant number, since it is smaller than the sum of its proper divisors (3884330267136).

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

1125993623040 is a wasteful number, since it uses less digits than its factorization.

1125993623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 1125993623040 in words is "one trillion, one hundred twenty-five billion, nine hundred ninety-three million, six hundred twenty-three thousand, forty".