1642235041590 has 768 divisors, whose sum is σ = 5072010338304. Its totient is φ = 336061440000.

The previous prime is 1642235041549. The next prime is 1642235041687. The reversal of 1642235041590 is 951405322461.

It is a super-2 number, since 2×1642235041590² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6542768965 + ... + 6542769215.

It is an arithmetic number, because the mean of its divisors is an integer number (6604180128).

Almost surely, 2^{1642235041590} is an apocalyptic number.

1642235041590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1642235041590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536005169152).

1642235041590 is an abundant number, since it is smaller than the sum of its proper divisors (3429775296714).

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

1642235041590 is a wasteful number, since it uses less digits than its factorization.

1642235041590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 1642235041590 in words is "one trillion, six hundred forty-two billion, two hundred thirty-five million, forty-one thousand, five hundred ninety".