104014222400 has 336 divisors, whose sum is σ = 288493029312. Its totient is φ = 36578304000.

The previous prime is 104014222399. The next prime is 104014222423. The reversal of 104014222400 is 4222410401.

It is a super-2 number, since 2×104014222400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137402822 + ... + 137403578.

Almost surely, 2^104014222400 is an apocalyptic number.

104014222400 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 104014222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144246514656).

104014222400 is an abundant number, since it is smaller than the sum of its proper divisors (184478806912).

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

104014222400 is a wasteful number, since it uses less digits than its factorization.

104014222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 104014222400 its reverse (4222410401), we get a palindrome (108236632801).

The spelling of 104014222400 in words is "one hundred four billion, fourteen million, two hundred twenty-two thousand, four hundred".