1631746552440 has 256 divisors, whose sum is σ = 5423927961600. Its totient is φ = 390616776704.

The previous prime is 1631746552421. The next prime is 1631746552483. The reversal of 1631746552440 is 442556471361.

It is a super-2 number, since 2×1631746552440² (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 1631746552440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16513501 + ... + 16612019.

It is an arithmetic number, because the mean of its divisors is an integer number (21187218600).

Almost surely, 2^{1631746552440} is an apocalyptic number.

1631746552440 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 1631746552440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711963980800).

1631746552440 is an abundant number, since it is smaller than the sum of its proper divisors (3792181409160).

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

1631746552440 is a wasteful number, since it uses less digits than its factorization.

1631746552440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98926 (or 98922 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 1631746552440 in words is "one trillion, six hundred thirty-one billion, seven hundred forty-six million, five hundred fifty-two thousand, four hundred forty".