4630142539440 has 640 divisors, whose sum is σ = 17999297971200. Its totient is φ = 1084216320000.

The previous prime is 4630142539423. The next prime is 4630142539471. The reversal of 4630142539440 is 449352410364.

4630142539440 is a `hidden beast` number, since 4 + 6 + 30 + 1 + 42 + 539 + 4 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 98366631 + ... + 98413689.

It is an arithmetic number, because the mean of its divisors is an integer number (28123903080).

Almost surely, 2^{4630142539440} is an apocalyptic number.

4630142539440 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 4630142539440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999648985600).

4630142539440 is an abundant number, since it is smaller than the sum of its proper divisors (13369155431760).

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

4630142539440 is a wasteful number, since it uses less digits than its factorization.

4630142539440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47234 (or 47222 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 4630142539440 in words is "four trillion, six hundred thirty billion, one hundred forty-two million, five hundred thirty-nine thousand, four hundred forty".