4056033416240 has 160 divisors (see below), whose sum is σ = 10749924460800. Its totient is φ = 1410863201280.

The previous prime is 4056033416233. The next prime is 4056033416263. The reversal of 4056033416240 is 426143306504.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 4056033416194 and 4056033416203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963675 + ... + 4110405.

It is an arithmetic number, because the mean of its divisors is an integer number (67187027880).

Almost surely, 2^{4056033416240} is an apocalyptic number.

4056033416240 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 4056033416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374962230400).

4056033416240 is an abundant number, since it is smaller than the sum of its proper divisors (6693891044560).

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

4056033416240 is a wasteful number, since it uses less digits than its factorization.

4056033416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146955 (or 1146949 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 4056033416240 in words is "four trillion, fifty-six billion, thirty-three million, four hundred sixteen thousand, two hundred forty".