10724201415 has 32 divisors (see below), whose sum is σ = 19306598400. Its totient is φ = 5647168800.

The previous prime is 10724201377. The next prime is 10724201431. The reversal of 10724201415 is 51410242701.

10724201415 is a `hidden beast` number, since 1 + 0 + 7 + 242 + 0 + 1 + 415 = 666.

It is not a de Polignac number, because 10724201415 - 2¹⁰ = 10724200391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492111 + ... + 513440.

It is an arithmetic number, because the mean of its divisors is an integer number (603331200).

Almost surely, 2^10724201415 is an apocalyptic number.

10724201415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10724201415 is a deficient number, since it is larger than the sum of its proper divisors (8582396985).

10724201415 is a wasteful number, since it uses less digits than its factorization.

10724201415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005644 (or 1005638 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10724201415 in words is "ten billion, seven hundred twenty-four million, two hundred one thousand, four hundred fifteen".