414052153153332 has 24 divisors (see below), whose sum is σ = 968605294020000. Its totient is φ = 137662583908896.

The previous prime is 414052153153319. The next prime is 414052153153351. The reversal of 414052153153332 is 233351351250414.

It is a super-2 number, since 2×414052153153332² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44350054582 + ... + 44350063917.

It is an arithmetic number, because the mean of its divisors is an integer number (40358553917500).

Almost surely, 2^{414052153153332} is an apocalyptic number.

It is an amenable number.

414052153153332 is an abundant number, since it is smaller than the sum of its proper divisors (554553140866668).

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

414052153153332 is a wasteful number, since it uses less digits than its factorization.

414052153153332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88700118895 (or 88700118893 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 414052153153332 in words is "four hundred fourteen trillion, fifty-two billion, one hundred fifty-three million, one hundred fifty-three thousand, three hundred thirty-two".