4196356790400 has 1152 divisors, whose sum is σ = 15637274864640. Its totient is φ = 1070795980800.

The previous prime is 4196356790399. The next prime is 4196356790413. The reversal of 4196356790400 is 40976536914.

4196356790400 is a `hidden beast` number, since 4 + 1 + 96 + 3 + 5 + 67 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 21970454305 + ... + 21970454495.

It is an arithmetic number, because the mean of its divisors is an integer number (13574023320).

Almost surely, 2^{4196356790400} is an apocalyptic number.

4196356790400 is a gapful number since it is divisible by the number (40) 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 4196356790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7818637432320).

4196356790400 is an abundant number, since it is smaller than the sum of its proper divisors (11440918074240).

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

4196356790400 is a wasteful number, since it uses less digits than its factorization.

4196356790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 4196356790400 in words is "four trillion, one hundred ninety-six billion, three hundred fifty-six million, seven hundred ninety thousand, four hundred".