40139181984 has 384 divisors, whose sum is σ = 124947567360. Its totient is φ = 11147673600.

The previous prime is 40139181983. The next prime is 40139181991. The reversal of 40139181984 is 48918193104.

40139181984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40139181984² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40139181983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142843924 + ... + 142844204.

It is an arithmetic number, because the mean of its divisors is an integer number (325384290).

Almost surely, 2^40139181984 is an apocalyptic number.

40139181984 is a gapful number since it is divisible by the number (44) 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 40139181984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62473783680).

40139181984 is an abundant number, since it is smaller than the sum of its proper divisors (84808385376).

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

40139181984 is a wasteful number, since it uses less digits than its factorization.

40139181984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 40139181984 in words is "forty billion, one hundred thirty-nine million, one hundred eighty-one thousand, nine hundred eighty-four".