414124301000 has 64 divisors (see below), whose sum is σ = 1026053898480. Its totient is φ = 155905612800.

The previous prime is 414124300963. The next prime is 414124301011. The reversal of 414124301000 is 103421414.

It can be written as a sum of positive squares in 8 ways, for example, as 46624037476 + 367500263524 = 215926^2 + 606218^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12163127 + ... + 12197126.

Almost surely, 2^414124301000 is an apocalyptic number.

414124301000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414124301000 is an abundant number, since it is smaller than the sum of its proper divisors (611929597480).

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

414124301000 is a wasteful number, since it uses less digits than its factorization.

414124301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24360291 (or 24360277 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 414124301000 its reverse (103421414), we get a palindrome (414227722414).

The spelling of 414124301000 in words is "four hundred fourteen billion, one hundred twenty-four million, three hundred one thousand".