1631026441000 has 128 divisors (see below), whose sum is σ = 4165617456000. Its totient is φ = 592808256000.

The previous prime is 1631026440983. The next prime is 1631026441021. The reversal of 1631026441000 is 1446201361.

It is a super-2 number, since 2×1631026441000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1631026441000.

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, 22943511 + ... + 23014489.

It is an arithmetic number, because the mean of its divisors is an integer number (32543886375).

Almost surely, 2^{1631026441000} is an apocalyptic number.

1631026441000 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 1631026441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082808728000).

1631026441000 is an abundant number, since it is smaller than the sum of its proper divisors (2534591015000).

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

1631026441000 is a wasteful number, since it uses less digits than its factorization.

1631026441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73100 (or 73086 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 1631026441000 in words is "one trillion, six hundred thirty-one billion, twenty-six million, four hundred forty-one thousand".