40268015424 has 672 divisors, whose sum is σ = 149778720000. Its totient is φ = 10057678848.

The previous prime is 40268015423. The next prime is 40268015443. The reversal of 40268015424 is 42451086204.

40268015424 is a `hidden beast` number, since 402 + 6 + 80 + 154 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40268015423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89683552 + ... + 89684000.

It is an arithmetic number, because the mean of its divisors is an integer number (222885000).

Almost surely, 2^40268015424 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 40268015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889360000).

40268015424 is an abundant number, since it is smaller than the sum of its proper divisors (109510704576).

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

40268015424 is a wasteful number, since it uses less digits than its factorization.

40268015424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40268015424 in words is "forty billion, two hundred sixty-eight million, fifteen thousand, four hundred twenty-four".