4772769402240 has 640 divisors, whose sum is σ = 19726031001600. Its totient is φ = 1077103153152.

The previous prime is 4772769402157. The next prime is 4772769402257. The reversal of 4772769402240 is 422049672774.

4772769402240 is a `hidden beast` number, since 47 + 7 + 276 + 94 + 0 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 28584277 + ... + 28750763.

It is an arithmetic number, because the mean of its divisors is an integer number (30821923440).

Almost surely, 2^{4772769402240} is an apocalyptic number.

4772769402240 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 4772769402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863015500800).

4772769402240 is an abundant number, since it is smaller than the sum of its proper divisors (14953261599360).

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

4772769402240 is a wasteful number, since it uses less digits than its factorization.

4772769402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166604 (or 166583 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 4772769402240 in words is "four trillion, seven hundred seventy-two billion, seven hundred sixty-nine million, four hundred two thousand, two hundred forty".