4901137961280 has 224 divisors, whose sum is σ = 17105350445568. Its totient is φ = 1179084441600.

The previous prime is 4901137961263. The next prime is 4901137961281. The reversal of 4901137961280 is 821697311094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4901137961281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388102 + ... + 3154821.

It is an arithmetic number, because the mean of its divisors is an integer number (76363171632).

Almost surely, 2^{4901137961280} is an apocalyptic number.

4901137961280 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 4901137961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8552675222784).

4901137961280 is an abundant number, since it is smaller than the sum of its proper divisors (12204212484288).

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

4901137961280 is a wasteful number, since it uses less digits than its factorization.

4901137961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543085 (or 3543075 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 4901137961280 in words is "four trillion, nine hundred one billion, one hundred thirty-seven million, nine hundred sixty-one thousand, two hundred eighty".