21412150400 has 96 divisors (see below), whose sum is σ = 52935800880. Its totient is φ = 8558208000.

The previous prime is 21412150373. The next prime is 21412150421. The reversal of 21412150400 is 405121412.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 7508975 + ... + 7511825.

Almost surely, 2^21412150400 is an apocalyptic number.

21412150400 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 21412150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26467900440).

21412150400 is an abundant number, since it is smaller than the sum of its proper divisors (31523650480).

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

21412150400 is a wasteful number, since it uses less digits than its factorization.

21412150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 21412150400 its reverse (405121412), we get a palindrome (21817271812).

The spelling of 21412150400 in words is "twenty-one billion, four hundred twelve million, one hundred fifty thousand, four hundred".