19946900400 has 540 divisors, whose sum is σ = 77021282376. Its totient is φ = 4399718400.

The previous prime is 19946900357. The next prime is 19946900471. The reversal of 19946900400 is 400964991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 56506624 + ... + 56506976.

Almost surely, 2^19946900400 is an apocalyptic number.

19946900400 is a gapful number since it is divisible by the number (10) 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 19946900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38510641188).

19946900400 is an abundant number, since it is smaller than the sum of its proper divisors (57074381976).

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

19946900400 is a wasteful number, since it uses less digits than its factorization.

19946900400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 19946900400 in words is "nineteen billion, nine hundred forty-six million, nine hundred thousand, four hundred".