4290480898704 has 1200 divisors, whose sum is σ = 17159404061184. Its totient is φ = 1006642391040.

The previous prime is 4290480898673. The next prime is 4290480898709. The reversal of 4290480898704 is 4078980840924.

4290480898704 is a `hidden beast` number, since 4 + 2 + 9 + 0 + 480 + 89 + 8 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4290480898709) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 670698834 + ... + 670705230.

Almost surely, 2^{4290480898704} is an apocalyptic number.

4290480898704 is a gapful number since it is divisible by the number (44) 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 4290480898704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579702030592).

4290480898704 is an abundant number, since it is smaller than the sum of its proper divisors (12868923162480).

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

4290480898704 is a wasteful number, since it uses less digits than its factorization.

4290480898704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 4290480898704 in words is "four trillion, two hundred ninety billion, four hundred eighty million, eight hundred ninety-eight thousand, seven hundred four".