40279724928 has 512 divisors, whose sum is σ = 133249536000. Its totient is φ = 11917688832.

The previous prime is 40279724923. The next prime is 40279724929. The reversal of 40279724928 is 82942797204.

It is a happy number.

40279724928 is a `hidden beast` number, since 40 + 27 + 97 + 2 + 492 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40279724923) 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, 80078725 + ... + 80079227.

It is an arithmetic number, because the mean of its divisors is an integer number (260253000).

Almost surely, 2^40279724928 is an apocalyptic number.

40279724928 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 40279724928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66624768000).

40279724928 is an abundant number, since it is smaller than the sum of its proper divisors (92969811072).

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

40279724928 is a wasteful number, since it uses less digits than its factorization.

40279724928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40279724928 in words is "forty billion, two hundred seventy-nine million, seven hundred twenty-four thousand, nine hundred twenty-eight".