36403415460 has 144 divisors (see below), whose sum is σ = 118233788400. Its totient is φ = 9033818112.

The previous prime is 36403415459. The next prime is 36403415473. The reversal of 36403415460 is 6451430463.

36403415460 is a `hidden beast` number, since 3 + 640 + 3 + 4 + 1 + 5 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7416309924 + 28987105536 = 86118^2 + 170256^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205506 + ... + 339174.

It is an arithmetic number, because the mean of its divisors is an integer number (821067975).

Almost surely, 2^36403415460 is an apocalyptic number.

36403415460 is a gapful number since it is divisible by the number (30) 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 36403415460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59116894200).

36403415460 is an abundant number, since it is smaller than the sum of its proper divisors (81830372940).

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

36403415460 is a wasteful number, since it uses less digits than its factorization.

36403415460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133790 (or 133785 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 36403415460 in words is "thirty-six billion, four hundred three million, four hundred fifteen thousand, four hundred sixty".