4405077432 has 160 divisors (see below), whose sum is σ = 14556241920. Its totient is φ = 1217954880.

The previous prime is 4405077427. The next prime is 4405077449. The reversal of 4405077432 is 2347705044.

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 39 ways as a sum of consecutive naturals, for example, 124953 + ... + 156279.

It is an arithmetic number, because the mean of its divisors is an integer number (90976512).

Almost surely, 2^4405077432 is an apocalyptic number.

4405077432 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 4405077432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278120960).

4405077432 is an abundant number, since it is smaller than the sum of its proper divisors (10151164488).

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

4405077432 is a wasteful number, since it uses less digits than its factorization.

4405077432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31383 (or 31370 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 4405077432 is about 66370.7573559320. The cubic root of 4405077432 is about 1639.2726092140.

The spelling of 4405077432 in words is "four billion, four hundred five million, seventy-seven thousand, four hundred thirty-two".