4462928997120 has 1728 divisors, whose sum is σ = 18164063232000. Its totient is φ = 1035738316800.

The previous prime is 4462928997083. The next prime is 4462928997133. The reversal of 4462928997120 is 217998292644.

4462928997120 is a `hidden beast` number, since 4 + 462 + 9 + 2 + 89 + 9 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 22426778781 + ... + 22426778979.

Almost surely, 2^{4462928997120} is an apocalyptic number.

4462928997120 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 4462928997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082031616000).

4462928997120 is an abundant number, since it is smaller than the sum of its proper divisors (13701134234880).

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

4462928997120 is a wasteful number, since it uses less digits than its factorization.

4462928997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 4462928997120 in words is "four trillion, four hundred sixty-two billion, nine hundred twenty-eight million, nine hundred ninety-seven thousand, one hundred twenty".