40379688972 has 768 divisors, whose sum is σ = 139345920000. Its totient is φ = 9850014720.

The previous prime is 40379688971. The next prime is 40379689013. The reversal of 40379688972 is 27988697304.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40379688971) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 684401479 + ... + 684401537.

It is an arithmetic number, because the mean of its divisors is an integer number (181440000).

Almost surely, 2^40379688972 is an apocalyptic number.

40379688972 is a gapful number since it is divisible by the number (42) 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 40379688972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960000).

40379688972 is an abundant number, since it is smaller than the sum of its proper divisors (98966231028).

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

40379688972 is a wasteful number, since it uses less digits than its factorization.

40379688972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 40379688972 in words is "forty billion, three hundred seventy-nine million, six hundred eighty-eight thousand, nine hundred seventy-two".