414152025100 has 72 divisors (see below), whose sum is σ = 990118097136. Its totient is φ = 149109600000.

The previous prime is 414152025073. The next prime is 414152025113. The reversal of 414152025100 is 1520251414.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752771 + ... + 1974970.

It is an arithmetic number, because the mean of its divisors is an integer number (13751640238).

Almost surely, 2^414152025100 is an apocalyptic number.

It is an amenable number.

414152025100 is an abundant number, since it is smaller than the sum of its proper divisors (575966072036).

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

414152025100 is a wasteful number, since it uses less digits than its factorization.

414152025100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727867 (or 3727860 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 414152025100 its reverse (1520251414), we get a palindrome (415672276514).

The spelling of 414152025100 in words is "four hundred fourteen billion, one hundred fifty-two million, twenty-five thousand, one hundred".