4630334431440 has 160 divisors (see below), whose sum is σ = 14689317430656. Its totient is φ = 1205920235520.

The previous prime is 4630334431427. The next prime is 4630334431487. The reversal of 4630334431440 is 441344330364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156199020 + ... + 156228660.

Almost surely, 2^{4630334431440} is an apocalyptic number.

4630334431440 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 4630334431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344658715328).

4630334431440 is an abundant number, since it is smaller than the sum of its proper divisors (10058982999216).

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

4630334431440 is a wasteful number, since it uses less digits than its factorization.

4630334431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44837 (or 44831 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

The spelling of 4630334431440 in words is "four trillion, six hundred thirty billion, three hundred thirty-four million, four hundred thirty-one thousand, four hundred forty".