4641750400 has 192 divisors, whose sum is σ = 13375260000. Its totient is φ = 1591080960.

The previous prime is 4641750341. The next prime is 4641750427. The reversal of 4641750400 is 40571464.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1095486 + ... + 1099714.

Almost surely, 2^4641750400 is an apocalyptic number.

4641750400 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 4641750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687630000).

4641750400 is an abundant number, since it is smaller than the sum of its proper divisors (8733509600).

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

4641750400 is an equidigital number, since it uses as much as digits as its factorization.

4641750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 4641750400 is about 68130.3926306021. The cubic root of 4641750400 is about 1668.1198916252.

The spelling of 4641750400 in words is "four billion, six hundred forty-one million, seven hundred fifty thousand, four hundred".