4606051440 has 320 divisors, whose sum is σ = 15831129600. Its totient is φ = 1103155200.

The previous prime is 4606051433. The next prime is 4606051481. The reversal of 4606051440 is 441506064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4606051398 and 4606051407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8066355 + ... + 8066925.

It is an arithmetic number, because the mean of its divisors is an integer number (49472280).

Almost surely, 2^4606051440 is an apocalyptic number.

4606051440 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 4606051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915564800).

4606051440 is an abundant number, since it is smaller than the sum of its proper divisors (11225078160).

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

4606051440 is a wasteful number, since it uses less digits than its factorization.

4606051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4606051440 is about 67867.8969764056. The cubic root of 4606051440 is about 1663.8324670305.

The spelling of 4606051440 in words is "four billion, six hundred six million, fifty-one thousand, four hundred forty".