22049689190400 has 1440 divisors, whose sum is σ = 84252607488000. Its totient is φ = 5649405050880.

The previous prime is 22049689190339. The next prime is 22049689190449. The reversal of 22049689190400 is 409198694022.

22049689190400 is a `hidden beast` number, since 2 + 2 + 0 + 4 + 9 + 68 + 91 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 30667161241 + ... + 30667161959.

It is an arithmetic number, because the mean of its divisors is an integer number (58508755200).

Almost surely, 2^{22049689190400} is an apocalyptic number.

22049689190400 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 22049689190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42126303744000).

22049689190400 is an abundant number, since it is smaller than the sum of its proper divisors (62202918297600).

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

22049689190400 is an equidigital number, since it uses as much as digits as its factorization.

22049689190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 22049689190400 in words is "twenty-two trillion, forty-nine billion, six hundred eighty-nine million, one hundred ninety thousand, four hundred".