1490046566400 has 1620 divisors, whose sum is σ = 6349699226052. Its totient is φ = 332943851520.

The previous prime is 1490046566399. The next prime is 1490046566431. The reversal of 1490046566400 is 46656400941.

It is a happy number.

1490046566400 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 0 + 46 + 566 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 263587774464 + 1226458791936 = 513408^2 + 1107456^2 .

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 107 ways as a sum of consecutive naturals, for example, 13186252744 + ... + 13186252856.

Almost surely, 2^{1490046566400} is an apocalyptic number.

1490046566400 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 1490046566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174849613026).

1490046566400 is an abundant number, since it is smaller than the sum of its proper divisors (4859652659652).

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

1490046566400 is a wasteful number, since it uses less digits than its factorization.

1490046566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1490046566400 in words is "one trillion, four hundred ninety billion, forty-six million, five hundred sixty-six thousand, four hundred".