4335120972 has 504 divisors, whose sum is σ = 15316445088. Its totient is φ = 1041361920.

The previous prime is 4335120961. The next prime is 4335120973. The reversal of 4335120972 is 2790215334.

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

It is not an unprimeable number, because it can be changed into a prime (4335120973) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 139842597 + ... + 139842627.

It is an arithmetic number, because the mean of its divisors is an integer number (30389772).

Almost surely, 2^4335120972 is an apocalyptic number.

4335120972 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 4335120972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7658222544).

4335120972 is an abundant number, since it is smaller than the sum of its proper divisors (10981324116).

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

4335120972 is a wasteful number, since it uses less digits than its factorization.

4335120972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4335120972 is about 65841.6355507668. The cubic root of 4335120972 is about 1630.5485716791.

The spelling of 4335120972 in words is "four billion, three hundred thirty-five million, one hundred twenty thousand, nine hundred seventy-two".