20451368480040 has 384 divisors, whose sum is σ = 69632598672000. Its totient is φ = 5198814652416.

The previous prime is 20451368480033. The next prime is 20451368480107. The reversal of 20451368480040 is 4008486315402.

20451368480040 is a `hidden beast` number, since 2 + 0 + 451 + 3 + 6 + 84 + 80 + 0 + 40 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1501672351 + ... + 1501685969.

It is an arithmetic number, because the mean of its divisors is an integer number (181334892375).

Almost surely, 2^{20451368480040} is an apocalyptic number.

20451368480040 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 20451368480040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34816299336000).

20451368480040 is an abundant number, since it is smaller than the sum of its proper divisors (49181230191960).

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

20451368480040 is a wasteful number, since it uses less digits than its factorization.

20451368480040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15481 (or 15474 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 20451368480040 in words is "twenty trillion, four hundred fifty-one billion, three hundred sixty-eight million, four hundred eighty thousand, forty".