4315193850240 has 1536 divisors, whose sum is σ = 18672146438400. Its totient is φ = 894107123712.

The previous prime is 4315193850221. The next prime is 4315193850277. The reversal of 4315193850240 is 420583915134.

4315193850240 is a `hidden beast` number, since 4 + 3 + 1 + 51 + 93 + 8 + 502 + 4 + 0 = 666.

4315193850240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10869505722 + ... + 10869506118.

Almost surely, 2^{4315193850240} is an apocalyptic number.

4315193850240 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 4315193850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9336073219200).

4315193850240 is an abundant number, since it is smaller than the sum of its proper divisors (14356952588160).

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

4315193850240 is a wasteful number, since it uses less digits than its factorization.

4315193850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 4315193850240 in words is "four trillion, three hundred fifteen billion, one hundred ninety-three million, eight hundred fifty thousand, two hundred forty".