20419338240000 has 2040 divisors, whose sum is σ = 86744511645792. Its totient is φ = 4529848320000.

The previous prime is 20419338239987. The next prime is 20419338240053. The reversal of 20419338240000 is 4283391402.

20419338240000 is a `hidden beast` number, since 204 + 19 + 3 + 38 + 2 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 105799679904 + ... + 105799680096.

Almost surely, 2^{20419338240000} is an apocalyptic number.

20419338240000 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 20419338240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43372255822896).

20419338240000 is an abundant number, since it is smaller than the sum of its proper divisors (66325173405792).

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

20419338240000 is an frugal number, since it uses more digits than its factorization.

20419338240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 20419338240000 in words is "twenty trillion, four hundred nineteen billion, three hundred thirty-eight million, two hundred forty thousand".