961027123296240 has 10240 divisors, whose sum is σ = 5086906417152000. Its totient is φ = 160125183590400.

The previous prime is 961027123296181. The next prime is 961027123296299. The reversal of 961027123296240 is 42692321720169.

It is a happy number.

961027123296240 is a `hidden beast` number, since 9 + 6 + 1 + 0 + 2 + 7 + 1 + 2 + 3 + 2 + 9 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (961027123296181) and next prime (961027123296299).

It is a super-2 number, since 2×961027123296240² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 2047 ways as a sum of consecutive naturals, for example, 4196624992446 + ... + 4196624992674.

It is an arithmetic number, because the mean of its divisors is an integer number (496768204800).

Almost surely, 2^{961027123296240} is an apocalyptic number.

961027123296240 is a gapful number since it is divisible by the number (90) 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 961027123296240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543453208576000).

961027123296240 is an abundant number, since it is smaller than the sum of its proper divisors (4125879293855760).

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

961027123296240 is a wasteful number, since it uses less digits than its factorization.

961027123296240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 961027123296240 in words is "nine hundred sixty-one trillion, twenty-seven billion, one hundred twenty-three million, two hundred ninety-six thousand, two hundred forty".