4621762290432 has 288 divisors, whose sum is σ = 14524360768512. Its totient is φ = 1277111549952.

The previous prime is 4621762290403. The next prime is 4621762290461. The reversal of 4621762290432 is 2340922671264.

It is an interprime number because it is at equal distance from previous prime (4621762290403) and next prime (4621762290461).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33148738 + ... + 33287870.

It is an arithmetic number, because the mean of its divisors is an integer number (50431808224).

Almost surely, 2^{4621762290432} is an apocalyptic number.

4621762290432 is a gapful number since it is divisible by the number (42) 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 4621762290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262180384256).

4621762290432 is an abundant number, since it is smaller than the sum of its proper divisors (9902598478080).

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

4621762290432 is a wasteful number, since it uses less digits than its factorization.

4621762290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139363 (or 139349 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

It can be divided in two parts, 4621762 and 290432, that added together give a palindrome (4912194).

The spelling of 4621762290432 in words is "four trillion, six hundred twenty-one billion, seven hundred sixty-two million, two hundred ninety thousand, four hundred thirty-two".