890739961440 has 576 divisors, whose sum is σ = 3503377531584. Its totient is φ = 188990226432.

The previous prime is 890739961411. The next prime is 890739961471. The reversal of 890739961440 is 44169937098.

890739961440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×890739961440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29173062 + ... + 29203578.

It is an arithmetic number, because the mean of its divisors is an integer number (6082252659).

Almost surely, 2^890739961440 is an apocalyptic number.

890739961440 is a gapful number since it is divisible by the number (80) 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 890739961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751688765792).

890739961440 is an abundant number, since it is smaller than the sum of its proper divisors (2612637570144).

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

890739961440 is a wasteful number, since it uses less digits than its factorization.

890739961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30639 (or 30624 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 890739961440 in words is "eight hundred ninety billion, seven hundred thirty-nine million, nine hundred sixty-one thousand, four hundred forty".