11938846295040 has 352 divisors, whose sum is σ = 43650643033344. Its totient is φ = 2728260403200.

The previous prime is 11938846295027. The next prime is 11938846295059. The reversal of 11938846295040 is 4059264883911.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 612961782 + ... + 612981258.

Almost surely, 2^{11938846295040} is an apocalyptic number.

11938846295040 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 11938846295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21825321516672).

11938846295040 is an abundant number, since it is smaller than the sum of its proper divisors (31711796738304).

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

11938846295040 is a wasteful number, since it uses less digits than its factorization.

11938846295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25213 (or 25195 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 11938846295040 in words is "eleven trillion, nine hundred thirty-eight billion, eight hundred forty-six million, two hundred ninety-five thousand, forty".