40869015264 has 720 divisors, whose sum is σ = 154158076800. Its totient is φ = 10561985280.

The previous prime is 40869015263. The next prime is 40869015269. The reversal of 40869015264 is 46251096804.

40869015264 is a `hidden beast` number, since 40 + 86 + 9 + 0 + 1 + 526 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40869015263) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 205371837 + ... + 205372035.

It is an arithmetic number, because the mean of its divisors is an integer number (214108440).

Almost surely, 2^40869015264 is an apocalyptic number.

40869015264 is a gapful number since it is divisible by the number (44) 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 40869015264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77079038400).

40869015264 is an abundant number, since it is smaller than the sum of its proper divisors (113289061536).

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

40869015264 is an equidigital number, since it uses as much as digits as its factorization.

40869015264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40869015264 in words is "forty billion, eight hundred sixty-nine million, fifteen thousand, two hundred sixty-four".