40279931328 has 224 divisors, whose sum is σ = 132525804544. Its totient is φ = 10513317888.

The previous prime is 40279931311. The next prime is 40279931333. The reversal of 40279931328 is 82313997204.

40279931328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1682901 + ... + 1706667.

It is an arithmetic number, because the mean of its divisors is an integer number (591633056).

Almost surely, 2^40279931328 is an apocalyptic number.

40279931328 is a gapful number since it is divisible by the number (48) 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 40279931328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66262902272).

40279931328 is an abundant number, since it is smaller than the sum of its proper divisors (92245873216).

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

40279931328 is a wasteful number, since it uses less digits than its factorization.

40279931328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23899 (or 23889 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 40279931328 in words is "forty billion, two hundred seventy-nine million, nine hundred thirty-one thousand, three hundred twenty-eight".