12401764416 has 224 divisors, whose sum is σ = 37430415360. Its totient is φ = 4024742400.

The previous prime is 12401764373. The next prime is 12401764457. The reversal of 12401764416 is 61446710421.

It is a happy number.

12401764416 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 1 + 7 + 644 + 1 + 6 = 666.

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

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, 25257931 + ... + 25258421.

Almost surely, 2^12401764416 is an apocalyptic number.

12401764416 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 12401764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18715207680).

12401764416 is an abundant number, since it is smaller than the sum of its proper divisors (25028650944).

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

12401764416 is a wasteful number, since it uses less digits than its factorization.

12401764416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12401764416 in words is "twelve billion, four hundred one million, seven hundred sixty-four thousand, four hundred sixteen".