414554973672 has 32 divisors (see below), whose sum is σ = 1184442782400. Its totient is φ = 118444278144.

The previous prime is 414554973659. The next prime is 414554973673. The reversal of 414554973672 is 276379455414.

It is a super-2 number, since 2×414554973672² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414554973673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233794397 + ... + 1233794732.

It is an arithmetic number, because the mean of its divisors is an integer number (37013836950).

Almost surely, 2^414554973672 is an apocalyptic number.

414554973672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

414554973672 is an abundant number, since it is smaller than the sum of its proper divisors (769887808728).

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

414554973672 is a wasteful number, since it uses less digits than its factorization.

414554973672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467589145 (or 2467589141 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 414554973672 in words is "four hundred fourteen billion, five hundred fifty-four million, nine hundred seventy-three thousand, six hundred seventy-two".