20403930378240 has 1664 divisors, whose sum is σ = 78737270538240. Its totient is φ = 5056584744960.

The previous prime is 20403930378109. The next prime is 20403930378277. The reversal of 20403930378240 is 4287303930402.

20403930378240 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 3 + 9 + 30 + 378 + 240 = 666.

20403930378240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 96701091735 + ... + 96701091945.

Almost surely, 2^{20403930378240} is an apocalyptic number.

20403930378240 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 20403930378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39368635269120).

20403930378240 is an abundant number, since it is smaller than the sum of its proper divisors (58333340160000).

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

20403930378240 is an equidigital number, since it uses as much as digits as its factorization.

20403930378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 20403930378240 in words is "twenty trillion, four hundred three billion, nine hundred thirty million, three hundred seventy-eight thousand, two hundred forty".