1590111141840 has 960 divisors, whose sum is σ = 6259352875776. Its totient is φ = 358174752768.

The previous prime is 1590111141833. The next prime is 1590111141887. The reversal of 1590111141840 is 481411110951.

It is a happy number.

1590111141840 is a `hidden beast` number, since 1 + 5 + 90 + 1 + 111 + 418 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1590111141795 and 1590111141804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2100542742 + ... + 2100543498.

Almost surely, 2^{1590111141840} is an apocalyptic number.

1590111141840 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 1590111141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129676437888).

1590111141840 is an abundant number, since it is smaller than the sum of its proper divisors (4669241733936).

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

1590111141840 is a wasteful number, since it uses less digits than its factorization.

1590111141840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The spelling of 1590111141840 in words is "one trillion, five hundred ninety billion, one hundred eleven million, one hundred forty-one thousand, eight hundred forty".