21136201482240 has 2400 divisors, whose sum is σ = 89159409504000. Its totient is φ = 4769930280960.

The previous prime is 21136201482239. The next prime is 21136201482269. The reversal of 21136201482240 is 4228410263112.

21136201482240 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 620 + 1 + 4 + 8 + 2 + 24 + 0 = 666.

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 = 21136201482195 and 21136201482204.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 681812951025 + ... + 681812951055.

It is an arithmetic number, because the mean of its divisors is an integer number (37149753960).

Almost surely, 2^{21136201482240} is an apocalyptic number.

21136201482240 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 21136201482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579704752000).

21136201482240 is an abundant number, since it is smaller than the sum of its proper divisors (68023208021760).

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

21136201482240 is an frugal number, since it uses more digits than its factorization.

21136201482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 21136201482240 in words is "twenty-one trillion, one hundred thirty-six billion, two hundred one million, four hundred eighty-two thousand, two hundred forty".