10890427242240 has 2880 divisors, whose sum is σ = 50259402547200. Its totient is φ = 2190358609920.

The previous prime is 10890427242239. The next prime is 10890427242337. The reversal of 10890427242240 is 4224272409801.

10890427242240 is a `hidden beast` number, since 1 + 0 + 89 + 0 + 42 + 72 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×10890427242240³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18181013461 + ... + 18181014059.

It is an arithmetic number, because the mean of its divisors is an integer number (17451181440).

Almost surely, 2^{10890427242240} is an apocalyptic number.

10890427242240 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 10890427242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25129701273600).

10890427242240 is an abundant number, since it is smaller than the sum of its proper divisors (39368975304960).

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

10890427242240 is a wasteful number, since it uses less digits than its factorization.

10890427242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 10890427242240 in words is "ten trillion, eight hundred ninety billion, four hundred twenty-seven million, two hundred forty-two thousand, two hundred forty".