4035874402560 has 2304 divisors, whose sum is σ = 18491082301440. Its totient is φ = 722369249280.

The previous prime is 4035874402543. The next prime is 4035874402561. The reversal of 4035874402560 is 652044785304.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4035874402561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5331405702 + ... + 5331406458.

It is an arithmetic number, because the mean of its divisors is an integer number (8025643360).

Almost surely, 2^{4035874402560} is an apocalyptic number.

4035874402560 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 4035874402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9245541150720).

4035874402560 is an abundant number, since it is smaller than the sum of its proper divisors (14455207898880).

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

4035874402560 is a wasteful number, since it uses less digits than its factorization.

4035874402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 4035874402560 in words is "four trillion, thirty-five billion, eight hundred seventy-four million, four hundred two thousand, five hundred sixty".