4801463737290 has 1056 divisors, whose sum is σ = 15572493881280. Its totient is φ = 1060879057920.

The previous prime is 4801463737253. The next prime is 4801463737319. The reversal of 4801463737290 is 927373641084.

4801463737290 is a `hidden beast` number, since 4 + 80 + 1 + 46 + 373 + 72 + 90 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 527 ways as a sum of consecutive naturals, for example, 71663637837 + ... + 71663637903.

Almost surely, 2^{4801463737290} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4801463737290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786246940640).

4801463737290 is an abundant number, since it is smaller than the sum of its proper divisors (10771030143990).

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

4801463737290 is a wasteful number, since it uses less digits than its factorization.

4801463737290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 4801463737290 in words is "four trillion, eight hundred one billion, four hundred sixty-three million, seven hundred thirty-seven thousand, two hundred ninety".