414052953984 has 320 divisors, whose sum is σ = 1318369971600. Its totient is φ = 128606330880.

The previous prime is 414052953973. The next prime is 414052953991. The reversal of 414052953984 is 489359250414.

It is a happy number.

414052953984 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 5 + 29 + 539 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 414052953984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11999284 + ... + 12033740.

Almost surely, 2^414052953984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414052953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659184985800).

414052953984 is an abundant number, since it is smaller than the sum of its proper divisors (904317017616).

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

414052953984 is a wasteful number, since it uses less digits than its factorization.

414052953984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34563 (or 34542 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 414052953984 in words is "four hundred fourteen billion, fifty-two million, nine hundred fifty-three thousand, nine hundred eighty-four".