20240342952480 has 864 divisors, whose sum is σ = 82392809793840. Its totient is φ = 4508800450560.

The previous prime is 20240342952457. The next prime is 20240342952493. The reversal of 20240342952480 is 8425924304202.

20240342952480 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 0 + 3 + 42 + 9 + 524 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 359409842064 + 19880933110416 = 599508^2 + 4458804^2 .

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

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, 3266148742 + ... + 3266154938.

Almost surely, 2^{20240342952480} is an apocalyptic number.

20240342952480 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 20240342952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41196404896920).

20240342952480 is an abundant number, since it is smaller than the sum of its proper divisors (62152466841360).

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

20240342952480 is a wasteful number, since it uses less digits than its factorization.

20240342952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 20240342952480 in words is "twenty trillion, two hundred forty billion, three hundred forty-two million, nine hundred fifty-two thousand, four hundred eighty".