21415614000 has 320 divisors, whose sum is σ = 79755466752. Its totient is φ = 4886016000.

The previous prime is 21415613993. The next prime is 21415614013. The reversal of 21415614000 is 41651412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1112457 + ... + 1131543.

Almost surely, 2^21415614000 is an apocalyptic number.

21415614000 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 21415614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39877733376).

21415614000 is an abundant number, since it is smaller than the sum of its proper divisors (58339852752).

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

21415614000 is a wasteful number, since it uses less digits than its factorization.

21415614000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19141 (or 19125 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 21415614000 in words is "twenty-one billion, four hundred fifteen million, six hundred fourteen thousand".