21134615040 has 1440 divisors, whose sum is σ = 99529879680. Its totient is φ = 4160471040.

The previous prime is 21134614997. The next prime is 21134615053. The reversal of 21134615040 is 4051643112.

It is a happy number.

21134615040 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 4 + 615 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21134614995 and 21134615013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1112348151 + ... + 1112348169.

It is an arithmetic number, because the mean of its divisors is an integer number (69117972).

Almost surely, 2^21134615040 is an apocalyptic number.

21134615040 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 21134615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49764939840).

21134615040 is an abundant number, since it is smaller than the sum of its proper divisors (78395264640).

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

21134615040 is a wasteful number, since it uses less digits than its factorization.

21134615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 21134615040 in words is "twenty-one billion, one hundred thirty-four million, six hundred fifteen thousand, forty".