220213402121440 has 192 divisors, whose sum is σ = 640327983837696. Its totient is φ = 69692260902912.

The previous prime is 220213402121431. The next prime is 220213402121467. The reversal of 220213402121440 is 44121204312022.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 220213402121399 and 220213402121408.

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, 711581779 + ... + 711891181.

It is an arithmetic number, because the mean of its divisors is an integer number (3335041582488).

Almost surely, 2^{220213402121440} is an apocalyptic number.

220213402121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220213402121440 is an abundant number, since it is smaller than the sum of its proper divisors (420114581716256).

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

220213402121440 is a wasteful number, since it uses less digits than its factorization.

220213402121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358321 (or 358313 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 220213402121440 its reverse (44121204312022), we get a palindrome (264334606433462).

The spelling of 220213402121440 in words is "two hundred twenty trillion, two hundred thirteen billion, four hundred two million, one hundred twenty-one thousand, four hundred forty".