4620061440 has 432 divisors, whose sum is σ = 17494154496. Its totient is φ = 1120665600.

The previous prime is 4620061429. The next prime is 4620061487. The reversal of 4620061440 is 441600264.

4620061440 is a `hidden beast` number, since 4 + 6 + 2 + 0 + 0 + 614 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6070660 + ... + 6071420.

It is an arithmetic number, because the mean of its divisors is an integer number (40495728).

Almost surely, 2^4620061440 is an apocalyptic number.

4620061440 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 4620061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747077248).

4620061440 is an abundant number, since it is smaller than the sum of its proper divisors (12874093056).

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

4620061440 is a wasteful number, since it uses less digits than its factorization.

4620061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4620061440 is about 67971.0338305958. The cubic root of 4620061440 is about 1665.5176920075.

The spelling of 4620061440 in words is "four billion, six hundred twenty million, sixty-one thousand, four hundred forty".