21190590281440 has 96 divisors (see below), whose sum is σ = 50314613940864. Its totient is φ = 8433700508160.

The previous prime is 21190590281351. The next prime is 21190590281447. The reversal of 21190590281440 is 4418209509112.

It is a super-2 number, since 2×21190590281440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21190590281447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25519195 + ... + 26336485.

It is an arithmetic number, because the mean of its divisors is an integer number (524110561884).

Almost surely, 2^{21190590281440} is an apocalyptic number.

21190590281440 is a gapful number since it is divisible by the number (20) 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 21190590281440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25157306970432).

21190590281440 is an abundant number, since it is smaller than the sum of its proper divisors (29124023659424).

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

21190590281440 is a wasteful number, since it uses less digits than its factorization.

21190590281440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818120 (or 818112 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 21190590281440 in words is "twenty-one trillion, one hundred ninety billion, five hundred ninety million, two hundred eighty-one thousand, four hundred forty".