1021540013424 has 1120 divisors, whose sum is σ = 3642232755200. Its totient is φ = 277025785344.

The previous prime is 1021540013413. The next prime is 1021540013479. The reversal of 1021540013424 is 4243100451201.

1021540013424 is a `hidden beast` number, since 1 + 0 + 215 + 400 + 1 + 3 + 42 + 4 = 666.

It is a super-2 number, since 2×1021540013424² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 9917864157 + ... + 9917864259.

Almost surely, 2^{1021540013424} is an apocalyptic number.

1021540013424 is a gapful number since it is divisible by the number (14) 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 1021540013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821116377600).

1021540013424 is an abundant number, since it is smaller than the sum of its proper divisors (2620692741776).

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

1021540013424 is an equidigital number, since it uses as much as digits as its factorization.

1021540013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1021540013424 its reverse (4243100451201), we get a palindrome (5264640464625).

The spelling of 1021540013424 in words is "one trillion, twenty-one billion, five hundred forty million, thirteen thousand, four hundred twenty-four".