220431251040 has 576 divisors, whose sum is σ = 948947892480. Its totient is φ = 42279874560.

The previous prime is 220431251011. The next prime is 220431251083. The reversal of 220431251040 is 40152134022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 220431251040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3330591 + ... + 3396129.

It is an arithmetic number, because the mean of its divisors is an integer number (1647478980).

Almost surely, 2^220431251040 is an apocalyptic number.

220431251040 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 220431251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474473946240).

220431251040 is an abundant number, since it is smaller than the sum of its proper divisors (728516641440).

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

220431251040 is a wasteful number, since it uses less digits than its factorization.

220431251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65595 (or 65580 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 220431251040 its reverse (40152134022), we get a palindrome (260583385062).

The spelling of 220431251040 in words is "two hundred twenty billion, four hundred thirty-one million, two hundred fifty-one thousand, forty".