4402906260480 has 1408 divisors, whose sum is σ = 19443934863360. Its totient is φ = 920001576960.

The previous prime is 4402906260409. The next prime is 4402906260491. The reversal of 4402906260480 is 840626092044.

4402906260480 is a `hidden beast` number, since 4 + 402 + 90 + 62 + 60 + 48 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 1346041245 + ... + 1346044515.

Almost surely, 2^{4402906260480} is an apocalyptic number.

4402906260480 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 4402906260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721967431680).

4402906260480 is an abundant number, since it is smaller than the sum of its proper divisors (15041028602880).

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

4402906260480 is a wasteful number, since it uses less digits than its factorization.

4402906260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4402906260480 in words is "four trillion, four hundred two billion, nine hundred six million, two hundred sixty thousand, four hundred eighty".