4040428083120 has 1920 divisors, whose sum is σ = 17064964915200. Its totient is φ = 870488985600.

The previous prime is 4040428083119. The next prime is 4040428083137. The reversal of 4040428083120 is 213808240404.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14909328585 + ... + 14909328855.

It is an arithmetic number, because the mean of its divisors is an integer number (8888002560).

Almost surely, 2^{4040428083120} is an apocalyptic number.

4040428083120 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 4040428083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8532482457600).

4040428083120 is an abundant number, since it is smaller than the sum of its proper divisors (13024536832080).

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

4040428083120 is a wasteful number, since it uses less digits than its factorization.

4040428083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4040428083120 in words is "four trillion, forty billion, four hundred twenty-eight million, eighty-three thousand, one hundred twenty".