21410541200 has 60 divisors (see below), whose sum is σ = 54464655780. Its totient is φ = 8060436480.

The previous prime is 21410541179. The next prime is 21410541221. The reversal of 21410541200 is 214501412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21410541179) and next prime (21410541221).

It can be written as a sum of positive squares in 6 ways, for example, as 742453504 + 20668087696 = 27248^2 + 143764^2 .

It is a super-2 number, since 2×21410541200² (a number of 21 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 11 ways as a sum of consecutive naturals, for example, 1567505 + ... + 1581104.

It is an arithmetic number, because the mean of its divisors is an integer number (907744263).

Almost surely, 2^21410541200 is an apocalyptic number.

21410541200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21410541200 is an abundant number, since it is smaller than the sum of its proper divisors (33054114580).

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

21410541200 is a wasteful number, since it uses less digits than its factorization.

21410541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148644 (or 3148633 counting only the distinct ones).

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

The spelling of 21410541200 in words is "twenty-one billion, four hundred ten million, five hundred forty-one thousand, two hundred".