20294396456400 has 720 divisors, whose sum is σ = 79735163289600. Its totient is φ = 4916152051200.

The previous prime is 20294396456303. The next prime is 20294396456419. The reversal of 20294396456400 is 465469349202.

20294396456400 is a `hidden beast` number, since 2 + 0 + 29 + 43 + 96 + 456 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1585617201 + ... + 1585629999.

Almost surely, 2^{20294396456400} is an apocalyptic number.

20294396456400 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 20294396456400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39867581644800).

20294396456400 is an abundant number, since it is smaller than the sum of its proper divisors (59440766833200).

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

20294396456400 is a wasteful number, since it uses less digits than its factorization.

20294396456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14326 (or 14303 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 20294396456400 in words is "twenty trillion, two hundred ninety-four billion, three hundred ninety-six million, four hundred fifty-six thousand, four hundred".