4572722840400 has 2700 divisors, whose sum is σ = 20285248357440. Its totient is φ = 977723136000.

The previous prime is 4572722840393. The next prime is 4572722840437. The reversal of 4572722840400 is 40482272754.

4572722840400 is a `hidden beast` number, since 4 + 572 + 72 + 2 + 8 + 4 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 57882567561 + ... + 57882567639.

Almost surely, 2^{4572722840400} is an apocalyptic number.

4572722840400 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 4572722840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142624178720).

4572722840400 is an abundant number, since it is smaller than the sum of its proper divisors (15712525517040).

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

4572722840400 is a wasteful number, since it uses less digits than its factorization.

4572722840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The spelling of 4572722840400 in words is "four trillion, five hundred seventy-two billion, seven hundred twenty-two million, eight hundred forty thousand, four hundred".