20019723494400 has 3168 divisors, whose sum is σ = 89753580800000. Its totient is φ = 4248935792640.

The previous prime is 20019723494399. The next prime is 20019723494423. The reversal of 20019723494400 is 449432791002.

20019723494400 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 9 + 7 + 234 + 9 + 4 + 400 = 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 287 ways as a sum of consecutive naturals, for example, 100601625501 + ... + 100601625699.

Almost surely, 2^{20019723494400} is an apocalyptic number.

20019723494400 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 20019723494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44876790400000).

20019723494400 is an abundant number, since it is smaller than the sum of its proper divisors (69733857305600).

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

20019723494400 is a wasteful number, since it uses less digits than its factorization.

20019723494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 20019723494400 in words is "twenty trillion, nineteen billion, seven hundred twenty-three million, four hundred ninety-four thousand, four hundred".