11456925143040 has 2496 divisors, whose sum is σ = 48455251004160. Its totient is φ = 2473297182720.

The previous prime is 11456925143039. The next prime is 11456925143089. The reversal of 11456925143040 is 4034152965411.

11456925143040 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 6 + 92 + 514 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×11456925143040² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 87457443775 + ... + 87457443905.

It is an arithmetic number, because the mean of its divisors is an integer number (19413161460).

Almost surely, 2^{11456925143040} is an apocalyptic number.

11456925143040 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 11456925143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24227625502080).

11456925143040 is an abundant number, since it is smaller than the sum of its proper divisors (36998325861120).

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

11456925143040 is a wasteful number, since it uses less digits than its factorization.

11456925143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11456925143040 in words is "eleven trillion, four hundred fifty-six billion, nine hundred twenty-five million, one hundred forty-three thousand, forty".