1490827935744 has 544 divisors, whose sum is σ = 5186301213440. Its totient is φ = 414311251968.

The previous prime is 1490827935739. The next prime is 1490827935757. The reversal of 1490827935744 is 4475397280941.

1490827935744 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 8 + 279 + 357 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458291622 + ... + 458294874.

Almost surely, 2^{1490827935744} is an apocalyptic number.

1490827935744 is a gapful number since it is divisible by the number (14) 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 1490827935744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593150606720).

1490827935744 is an abundant number, since it is smaller than the sum of its proper divisors (3695473277696).

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

1490827935744 is an frugal number, since it uses more digits than its factorization.

1490827935744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 1490827935744 in words is "one trillion, four hundred ninety billion, eight hundred twenty-seven million, nine hundred thirty-five thousand, seven hundred forty-four".