2235721406400 has 504 divisors, whose sum is σ = 8420850874800. Its totient is φ = 561589862400.

The previous prime is 2235721406329. The next prime is 2235721406411. The reversal of 2235721406400 is 46041275322.

2235721406400 is a `hidden beast` number, since 2 + 2 + 3 + 5 + 7 + 2 + 1 + 4 + 0 + 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 71 ways as a sum of consecutive naturals, for example, 17056311 + ... + 17186889.

It is an arithmetic number, because the mean of its divisors is an integer number (16708037450).

Almost surely, 2^{2235721406400} is an apocalyptic number.

2235721406400 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 2235721406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210425437400).

2235721406400 is an abundant number, since it is smaller than the sum of its proper divisors (6185129468400).

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

2235721406400 is a wasteful number, since it uses less digits than its factorization.

2235721406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130677 (or 130659 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2235721406400 in words is "two trillion, two hundred thirty-five billion, seven hundred twenty-one million, four hundred six thousand, four hundred".