1490760028800 has 1440 divisors, whose sum is σ = 6681057340320. Its totient is φ = 320588513280.

The previous prime is 1490760028759. The next prime is 1490760028819. The reversal of 1490760028800 is 88200670941.

1490760028800 is a `hidden beast` number, since 1 + 490 + 7 + 60 + 0 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 179 ways as a sum of consecutive naturals, for example, 524360179 + ... + 524363021.

It is an arithmetic number, because the mean of its divisors is an integer number (4639623153).

Almost surely, 2^{1490760028800} is an apocalyptic number.

1490760028800 is a gapful number since it is divisible by the number (10) 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 1490760028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340528670160).

1490760028800 is an abundant number, since it is smaller than the sum of its proper divisors (5190297311520).

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

1490760028800 is a wasteful number, since it uses less digits than its factorization.

1490760028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1490760028800 in words is "one trillion, four hundred ninety billion, seven hundred sixty million, twenty-eight thousand, eight hundred".