5395474022400 has 2268 divisors, whose sum is σ = 25178764004576. Its totient is φ = 1121137459200.

The previous prime is 5395474022383. The next prime is 5395474022413. The reversal of 5395474022400 is 42204745935.

5395474022400 is a `hidden beast` number, since 5 + 3 + 9 + 547 + 40 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a super-2 number, since 2×5395474022400² (a number of 26 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 490497638395 + ... + 490497638405.

Almost surely, 2^{5395474022400} is an apocalyptic number.

5395474022400 is a gapful number since it is divisible by the number (50) 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 5395474022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589382002288).

5395474022400 is an abundant number, since it is smaller than the sum of its proper divisors (19783289982176).

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

5395474022400 is an frugal number, since it uses more digits than its factorization.

5395474022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

5395474022400 divided by its product of nonzero digits (1209600) gives a square (4460544 = 2112²).

The spelling of 5395474022400 in words is "five trillion, three hundred ninety-five billion, four hundred seventy-four million, twenty-two thousand, four hundred".