4874750406240 has 864 divisors, whose sum is σ = 18376584434208. Its totient is φ = 1084885401600.

The previous prime is 4874750406217. The next prime is 4874750406257. The reversal of 4874750406240 is 426040574784.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1933656180 + ... + 1933658700.

It is an arithmetic number, because the mean of its divisors is an integer number (21269194947).

Almost surely, 2^{4874750406240} is an apocalyptic number.

4874750406240 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 4874750406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188292217104).

4874750406240 is an abundant number, since it is smaller than the sum of its proper divisors (13501834027968).

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

4874750406240 is a wasteful number, since it uses less digits than its factorization.

4874750406240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 51.

The spelling of 4874750406240 in words is "four trillion, eight hundred seventy-four billion, seven hundred fifty million, four hundred six thousand, two hundred forty".