4995774014400 has 1176 divisors, whose sum is σ = 19917621707984. Its totient is φ = 1225447833600.

The previous prime is 4995774014381. The next prime is 4995774014423. The reversal of 4995774014400 is 44104775994.

4995774014400 is a `hidden beast` number, since 4 + 9 + 95 + 77 + 40 + 1 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 8658186912 + ... + 8658187488.

Almost surely, 2^{4995774014400} is an apocalyptic number.

4995774014400 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 4995774014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9958810853992).

4995774014400 is an abundant number, since it is smaller than the sum of its proper divisors (14921847693584).

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

4995774014400 is a wasteful number, since it uses less digits than its factorization.

4995774014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4995774014400 in words is "four trillion, nine hundred ninety-five billion, seven hundred seventy-four million, fourteen thousand, four hundred".