93242941440 has 448 divisors, whose sum is σ = 329186633472. Its totient is φ = 22347776000.

The previous prime is 93242941433. The next prime is 93242941483. The reversal of 93242941440 is 4414924239.

It is a super-2 number, since 2×93242941440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 93242941392 and 93242941401.

It is a congruent number.

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, 136519339 + ... + 136520021.

Almost surely, 2^93242941440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93242941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164593316736).

93242941440 is an abundant number, since it is smaller than the sum of its proper divisors (235943692032).

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

93242941440 is a wasteful number, since it uses less digits than its factorization.

93242941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 93242941440 in words is "ninety-three billion, two hundred forty-two million, nine hundred forty-one thousand, four hundred forty".