4233461760000 has 1900 divisors, whose sum is σ = 17836432483320. Its totient is φ = 990904320000.

The previous prime is 4233461759987. The next prime is 4233461760023. The reversal of 4233461760000 is 671643324.

It is a happy number.

4233461760000 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 46 + 1 + 7 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 145981439986 + ... + 145981440014.

Almost surely, 2^{4233461760000} is an apocalyptic number.

4233461760000 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 4233461760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8918216241660).

4233461760000 is an abundant number, since it is smaller than the sum of its proper divisors (13602970723320).

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

4233461760000 is an frugal number, since it uses more digits than its factorization.

4233461760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 4233461760000 in words is "four trillion, two hundred thirty-three billion, four hundred sixty-one million, seven hundred sixty thousand".