1220595026400 has 504 divisors, whose sum is σ = 4576678730064. Its totient is φ = 317546956800.

The previous prime is 1220595026383. The next prime is 1220595026419. The reversal of 1220595026400 is 46205950221.

1220595026400 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 5 + 9 + 5 + 0 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 23885677 + ... + 23936723.

It is an arithmetic number, because the mean of its divisors is an integer number (9080711766).

Almost surely, 2^{1220595026400} is an apocalyptic number.

1220595026400 is a gapful number since it is divisible by the number (10) 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 1220595026400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288339365032).

1220595026400 is an abundant number, since it is smaller than the sum of its proper divisors (3356083703664).

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

1220595026400 is an equidigital number, since it uses as much as digits as its factorization.

1220595026400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51126 (or 51098 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1220595026400 in words is "one trillion, two hundred twenty billion, five hundred ninety-five million, twenty-six thousand, four hundred".