21471690240 has 1920 divisors, whose sum is σ = 107243136000. Its totient is φ = 3901685760.

The previous prime is 21471690197. The next prime is 21471690287. The reversal of 21471690240 is 4209617412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×21471690240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21471690195 and 21471690204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1130088951 + ... + 1130088969.

It is an arithmetic number, because the mean of its divisors is an integer number (55855800).

Almost surely, 2^21471690240 is an apocalyptic number.

21471690240 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 21471690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53621568000).

21471690240 is an abundant number, since it is smaller than the sum of its proper divisors (85771445760).

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

21471690240 is a wasteful number, since it uses less digits than its factorization.

21471690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 21471690240 in words is "twenty-one billion, four hundred seventy-one million, six hundred ninety thousand, two hundred forty".