11839990631040 has 4032 divisors, whose sum is σ = 54214885924920. Its totient is φ = 2459495301120.

The previous prime is 11839990630991. The next prime is 11839990631041. The reversal of 11839990631040 is 4013609993811.

11839990631040 is a `hidden beast` number, since 1 + 1 + 8 + 399 + 90 + 63 + 104 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 149991994944 + 11689998636096 = 387288^2 + 3419064^2 .

It is a super-2 number, since 2×11839990631040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11839990631041) by changing a digit.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 162191652444 + ... + 162191652516.

Almost surely, 2^{11839990631040} is an apocalyptic number.

11839990631040 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 11839990631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27107442962460).

11839990631040 is an abundant number, since it is smaller than the sum of its proper divisors (42374895293880).

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

11839990631040 is a wasteful number, since it uses less digits than its factorization.

11839990631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 11839990631040 in words is "eleven trillion, eight hundred thirty-nine billion, nine hundred ninety million, six hundred thirty-one thousand, forty".