19149709811400 has 288 divisors, whose sum is σ = 73502373672000. Its totient is φ = 4376840486400.

The previous prime is 19149709811399. The next prime is 19149709811413. The reversal of 19149709811400 is 411890794191.

It is a happy number.

19149709811400 is a `hidden beast` number, since 1 + 9 + 1 + 497 + 0 + 9 + 8 + 1 + 140 + 0 = 666.

It is a super-2 number, since 2×19149709811400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357170595 + ... + 357224205.

It is an arithmetic number, because the mean of its divisors is an integer number (255216575250).

Almost surely, 2^{19149709811400} is an apocalyptic number.

19149709811400 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 19149709811400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36751186836000).

19149709811400 is an abundant number, since it is smaller than the sum of its proper divisors (54352663860600).

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

19149709811400 is a wasteful number, since it uses less digits than its factorization.

19149709811400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81989 (or 81977 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 19149709811400 in words is "nineteen trillion, one hundred forty-nine billion, seven hundred nine million, eight hundred eleven thousand, four hundred".