4291613706240 has 1152 divisors, whose sum is σ = 17662095360000. Its totient is φ = 943403433984.

The previous prime is 4291613706151. The next prime is 4291613706257. The reversal of 4291613706240 is 426073161924.

4291613706240 is a `hidden beast` number, since 4 + 2 + 9 + 1 + 6 + 13 + 7 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1788916561 + ... + 1788918959.

It is an arithmetic number, because the mean of its divisors is an integer number (15331680000).

Almost surely, 2^{4291613706240} is an apocalyptic number.

4291613706240 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 4291613706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831047680000).

4291613706240 is an abundant number, since it is smaller than the sum of its proper divisors (13370481653760).

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

4291613706240 is a wasteful number, since it uses less digits than its factorization.

4291613706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4291613706240 in words is "four trillion, two hundred ninety-one billion, six hundred thirteen million, seven hundred six thousand, two hundred forty".