21264933353040 has 240 divisors, whose sum is σ = 76918169922048. Its totient is φ = 5233764916224.

The previous prime is 21264933352969. The next prime is 21264933353051. The reversal of 21264933353040 is 4035333946212.

It is a happy number.

21264933353040 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 4 + 9 + 3 + 335 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73865857 + ... + 74153183.

Almost surely, 2^{21264933353040} is an apocalyptic number.

21264933353040 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 21264933353040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38459084961024).

21264933353040 is an abundant number, since it is smaller than the sum of its proper divisors (55653236569008).

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

21264933353040 is a wasteful number, since it uses less digits than its factorization.

21264933353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295266 (or 295257 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 21264933353040 in words is "twenty-one trillion, two hundred sixty-four billion, nine hundred thirty-three million, three hundred fifty-three thousand, forty".