4264684160400 has 240 divisors, whose sum is σ = 15181153790400. Its totient is φ = 1137096483840.

The previous prime is 4264684160393. The next prime is 4264684160417. The reversal of 4264684160400 is 40614864624.

4264684160400 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 6 + 84 + 160 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96843187 + ... + 96887213.

It is an arithmetic number, because the mean of its divisors is an integer number (63254807460).

Almost surely, 2^{4264684160400} is an apocalyptic number.

4264684160400 is a gapful number since it is divisible by the number (40) 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 4264684160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590576895200).

4264684160400 is an abundant number, since it is smaller than the sum of its proper divisors (10916469630000).

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

4264684160400 is a wasteful number, since it uses less digits than its factorization.

4264684160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53023 (or 53006 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 4264684160400 in words is "four trillion, two hundred sixty-four billion, six hundred eighty-four million, one hundred sixty thousand, four hundred".