4132677024 has 240 divisors, whose sum is σ = 14216102208. Its totient is φ = 1153087488.

The previous prime is 4132677013. The next prime is 4132677037. The reversal of 4132677024 is 4207762314.

4132677024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4132677024.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 777544 + ... + 782840.

Almost surely, 2^4132677024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132677024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108051104).

4132677024 is an abundant number, since it is smaller than the sum of its proper divisors (10083425184).

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

4132677024 is a wasteful number, since it uses less digits than its factorization.

4132677024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5369 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4132677024 is about 64285.9006625870. The cubic root of 4132677024 is about 1604.7614703607.

The spelling of 4132677024 in words is "four billion, one hundred thirty-two million, six hundred seventy-seven thousand, twenty-four".