19795406400 has 1008 divisors, whose sum is σ = 90816826240. Its totient is φ = 4105728000.

The previous prime is 19795406381. The next prime is 19795406401. The reversal of 19795406400 is 460459791.

19795406400 is a `hidden beast` number, since 197 + 9 + 54 + 0 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×19795406400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19795406401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36590130 + ... + 36590670.

Almost surely, 2^19795406400 is an apocalyptic number.

19795406400 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 19795406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45408413120).

19795406400 is an abundant number, since it is smaller than the sum of its proper divisors (71021419840).

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

19795406400 is a wasteful number, since it uses less digits than its factorization.

19795406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 19795406400 in words is "nineteen billion, seven hundred ninety-five million, four hundred six thousand, four hundred".