4273744766400 has 672 divisors, whose sum is σ = 16276124928000. Its totient is φ = 1089585561600.

The previous prime is 4273744766377. The next prime is 4273744766419. The reversal of 4273744766400 is 46674473724.

4273744766400 is a `hidden beast` number, since 4 + 2 + 73 + 74 + 47 + 66 + 400 = 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 95 ways as a sum of consecutive naturals, for example, 111134376 + ... + 111172824.

It is an arithmetic number, because the mean of its divisors is an integer number (24220424000).

Almost surely, 2^{4273744766400} is an apocalyptic number.

4273744766400 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 4273744766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138062464000).

4273744766400 is an abundant number, since it is smaller than the sum of its proper divisors (12002380161600).

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

4273744766400 is a wasteful number, since it uses less digits than its factorization.

4273744766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38594 (or 38573 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 4273744766400 in words is "four trillion, two hundred seventy-three billion, seven hundred forty-four million, seven hundred sixty-six thousand, four hundred".