21492993392640 has 4096 divisors, whose sum is σ = 104003730432000. Its totient is φ = 4127824281600.

The previous prime is 21492993392627. The next prime is 21492993392641. The reversal of 21492993392640 is 4629339929412.

21492993392640 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 299 + 339 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (21492993392641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 524219351020 + ... + 524219351060.

It is an arithmetic number, because the mean of its divisors is an integer number (25391535750).

Almost surely, 2^{21492993392640} is an apocalyptic number.

21492993392640 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 21492993392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52001865216000).

21492993392640 is an abundant number, since it is smaller than the sum of its proper divisors (82510737039360).

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

21492993392640 is an frugal number, since it uses more digits than its factorization.

21492993392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 21492993392640 in words is "twenty-one trillion, four hundred ninety-two billion, nine hundred ninety-three million, three hundred ninety-two thousand, six hundred forty".