1490984034400 has 864 divisors, whose sum is σ = 4735007565120. Its totient is φ = 454618644480.

The previous prime is 1490984034389. The next prime is 1490984034431. The reversal of 1490984034400 is 44304890941.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1364120254 + ... + 1364121346.

It is an arithmetic number, because the mean of its divisors is an integer number (5480332830).

Almost surely, 2^{1490984034400} is an apocalyptic number.

1490984034400 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 1490984034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2367503782560).

1490984034400 is an abundant number, since it is smaller than the sum of its proper divisors (3244023530720).

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

1490984034400 is a wasteful number, since it uses less digits than its factorization.

1490984034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 1490984034400 in words is "one trillion, four hundred ninety billion, nine hundred eighty-four million, thirty-four thousand, four hundred".