4834751201280 has 1440 divisors, whose sum is σ = 22506317503488. Its totient is φ = 927203328000.

The previous prime is 4834751201263. The next prime is 4834751201281. The reversal of 4834751201280 is 821021574384.

4834751201280 is a `hidden beast` number, since 4 + 8 + 3 + 4 + 7 + 512 + 0 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (4834751201281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 738014005 + ... + 738020555.

Almost surely, 2^{4834751201280} is an apocalyptic number.

4834751201280 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 4834751201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253158751744).

4834751201280 is an abundant number, since it is smaller than the sum of its proper divisors (17671566302208).

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

4834751201280 is a wasteful number, since it uses less digits than its factorization.

4834751201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4834751201280 in words is "four trillion, eight hundred thirty-four billion, seven hundred fifty-one million, two hundred one thousand, two hundred eighty".