4401900468000 has 1152 divisors, whose sum is σ = 18833435712000. Its totient is φ = 951185203200.

The previous prime is 4401900467977. The next prime is 4401900468037. The reversal of 4401900468000 is 8640091044.

It is a happy number.

4401900468000 is a `hidden beast` number, since 4 + 4 + 0 + 190 + 0 + 468 + 0 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 3969251446 + ... + 3969252554.

It is an arithmetic number, because the mean of its divisors is an integer number (16348468500).

Almost surely, 2^{4401900468000} is an apocalyptic number.

4401900468000 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 4401900468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9416717856000).

4401900468000 is an abundant number, since it is smaller than the sum of its proper divisors (14431535244000).

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

4401900468000 is a wasteful number, since it uses less digits than its factorization.

4401900468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 4401900468000 in words is "four trillion, four hundred one billion, nine hundred million, four hundred sixty-eight thousand".