21404598340400 has 120 divisors (see below), whose sum is σ = 56142575526144. Its totient is φ = 7777514707200.

The previous prime is 21404598340399. The next prime is 21404598340423. The reversal of 21404598340400 is 404389540412.

It is a super-2 number, since 2×21404598340400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3866477 + ... + 7599923.

Almost surely, 2^{21404598340400} is an apocalyptic number.

21404598340400 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 21404598340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28071287763072).

21404598340400 is an abundant number, since it is smaller than the sum of its proper divisors (34737977185744).

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

21404598340400 is a wasteful number, since it uses less digits than its factorization.

21404598340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734779 (or 3734768 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 21404598340400 in words is "twenty-one trillion, four hundred four billion, five hundred ninety-eight million, three hundred forty thousand, four hundred".