4741034094720 has 2560 divisors, whose sum is σ = 22035031603200. Its totient is φ = 942907392000.

The previous prime is 4741034094697. The next prime is 4741034094743. The reversal of 4741034094720 is 274904301474.

4741034094720 is a `hidden beast` number, since 4 + 74 + 103 + 4 + 0 + 9 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4741034094697) and next prime (4741034094743).

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9655873675 + ... + 9655874165.

It is an arithmetic number, because the mean of its divisors is an integer number (8607434220).

Almost surely, 2^{4741034094720} is an apocalyptic number.

4741034094720 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 4741034094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11017515801600).

4741034094720 is an abundant number, since it is smaller than the sum of its proper divisors (17293997508480).

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

4741034094720 is a wasteful number, since it uses less digits than its factorization.

4741034094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 4741034094720 in words is "four trillion, seven hundred forty-one billion, thirty-four million, ninety-four thousand, seven hundred twenty".