4579397222400 has 4320 divisors, whose sum is σ = 23639877451008. Its totient is φ = 815372697600.

The previous prime is 4579397222359. The next prime is 4579397222431. The reversal of 4579397222400 is 42227939754.

It is a happy number.

4579397222400 is a `hidden beast` number, since 4 + 5 + 7 + 9 + 3 + 9 + 7 + 222 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62731468764 + ... + 62731468836.

Almost surely, 2^{4579397222400} is an apocalyptic number.

4579397222400 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 4579397222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819938725504).

4579397222400 is an abundant number, since it is smaller than the sum of its proper divisors (19060480228608).

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

4579397222400 is a wasteful number, since it uses less digits than its factorization.

4579397222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4579397222400 in words is "four trillion, five hundred seventy-nine billion, three hundred ninety-seven million, two hundred twenty-two thousand, four hundred".