40279513344 has 432 divisors, whose sum is σ = 129892439040. Its totient is φ = 10850918400.

The previous prime is 40279513223. The next prime is 40279513349. The reversal of 40279513344 is 44331597204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40279513296 and 40279513305.

It is not an unprimeable number, because it can be changed into a prime (40279513349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266751669 + ... + 266751819.

Almost surely, 2^40279513344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40279513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64946219520).

40279513344 is an abundant number, since it is smaller than the sum of its proper divisors (89612925696).

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

40279513344 is a wasteful number, since it uses less digits than its factorization.

40279513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 40279513344 in words is "forty billion, two hundred seventy-nine million, five hundred thirteen thousand, three hundred forty-four".