21024157542144 has 144 divisors (see below), whose sum is σ = 57545671438752. Its totient is φ = 6809336561664.

The previous prime is 21024157542137. The next prime is 21024157542149. The reversal of 21024157542144 is 44124575142012.

It is a super-2 number, since 2×21024157542144² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21024157542096 and 21024157542105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21024157542149) 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, 20324242 + ... + 21333614.

Almost surely, 2^{21024157542144} is an apocalyptic number.

21024157542144 is a gapful number since it is divisible by the number (24) 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 21024157542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28772835719376).

21024157542144 is an abundant number, since it is smaller than the sum of its proper divisors (36521513896608).

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

21024157542144 is a wasteful number, since it uses less digits than its factorization.

21024157542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010162 (or 1010148 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 21024157542144 in words is "twenty-one trillion, twenty-four billion, one hundred fifty-seven million, five hundred forty-two thousand, one hundred forty-four".