2825724121407 has 64 divisors (see below), whose sum is σ = 4595628441600. Its totient is φ = 1701766038240.

The previous prime is 2825724121391. The next prime is 2825724121411. The reversal of 2825724121407 is 7041214275282.

2825724121407 is a `hidden beast` number, since 2 + 8 + 25 + 72 + 412 + 140 + 7 = 666.

It is not a de Polignac number, because 2825724121407 - 2⁴ = 2825724121391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2825724121417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202307338 + ... + 202321304.

It is an arithmetic number, because the mean of its divisors is an integer number (71806694400).

Almost surely, 2^{2825724121407} is an apocalyptic number.

2825724121407 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2825724121407 is a deficient number, since it is larger than the sum of its proper divisors (1769904320193).

2825724121407 is a wasteful number, since it uses less digits than its factorization.

2825724121407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18233 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

Adding to 2825724121407 its reverse (7041214275282), we get a palindrome (9866938396689).

The spelling of 2825724121407 in words is "two trillion, eight hundred twenty-five billion, seven hundred twenty-four million, one hundred twenty-one thousand, four hundred seven".