15420414816 has 144 divisors (see below), whose sum is σ = 46490790528. Its totient is φ = 4839782400.

The previous prime is 15420414809. The next prime is 15420414827. The reversal of 15420414816 is 61841402451.

15420414816 is a `hidden beast` number, since 154 + 20 + 4 + 1 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306996 + ... + 353676.

It is an arithmetic number, because the mean of its divisors is an integer number (322852712).

Almost surely, 2^15420414816 is an apocalyptic number.

15420414816 is a gapful number since it is divisible by the number (16) 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 15420414816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23245395264).

15420414816 is an abundant number, since it is smaller than the sum of its proper divisors (31070375712).

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

15420414816 is a wasteful number, since it uses less digits than its factorization.

15420414816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46765 (or 46754 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 15420414816 in words is "fifteen billion, four hundred twenty million, four hundred fourteen thousand, eight hundred sixteen".