414152133000 has 128 divisors (see below), whose sum is σ = 1292546661120. Its totient is φ = 110407065600.

The previous prime is 414152132981. The next prime is 414152133011. The reversal of 414152133000 is 331251414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 10801864 + ... + 10840136.

It is an arithmetic number, because the mean of its divisors is an integer number (10098020790).

Almost surely, 2^414152133000 is an apocalyptic number.

414152133000 is a gapful number since it is divisible by the number (40) 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 414152133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646273330560).

414152133000 is an abundant number, since it is smaller than the sum of its proper divisors (878394528120).

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

414152133000 is a wasteful number, since it uses less digits than its factorization.

414152133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41904 (or 41890 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 414152133000 its reverse (331251414), we get a palindrome (414483384414).

The spelling of 414152133000 in words is "four hundred fourteen billion, one hundred fifty-two million, one hundred thirty-three thousand".