1590640149540 has 192 divisors, whose sum is σ = 5079767938560. Its totient is φ = 368420659200.

The previous prime is 1590640149481. The next prime is 1590640149547. The reversal of 1590640149540 is 459410460951.

It is a self number, because there is not a number n which added to its sum of digits gives 1590640149540.

It is not an unprimeable number, because it can be changed into a prime (1590640149547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65638146 + ... + 65662374.

It is an arithmetic number, because the mean of its divisors is an integer number (26457124680).

Almost surely, 2^{1590640149540} is an apocalyptic number.

1590640149540 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 1590640149540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539883969280).

1590640149540 is an abundant number, since it is smaller than the sum of its proper divisors (3489127789020).

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

1590640149540 is a wasteful number, since it uses less digits than its factorization.

1590640149540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29222 (or 29220 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 1590640149540 in words is "one trillion, five hundred ninety billion, six hundred forty million, one hundred forty-nine thousand, five hundred forty".