19491014400 has 864 divisors, whose sum is σ = 78348318720. Its totient is φ = 4202496000.

The previous prime is 19491014393. The next prime is 19491014419. The reversal of 19491014400 is 441019491.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85113486 + ... + 85113714.

Almost surely, 2^19491014400 is an apocalyptic number.

19491014400 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 19491014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39174159360).

19491014400 is an abundant number, since it is smaller than the sum of its proper divisors (58857304320).

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

19491014400 is a wasteful number, since it uses less digits than its factorization.

19491014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 19491014400 in words is "nineteen billion, four hundred ninety-one million, fourteen thousand, four hundred".