4691739092040 has 2304 divisors, whose sum is σ = 21784005734400. Its totient is φ = 883470551040.

The previous prime is 4691739092023. The next prime is 4691739092059. The reversal of 4691739092040 is 402909371964.

4691739092040 is a `hidden beast` number, since 46 + 9 + 1 + 7 + 390 + 9 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6314587909 + ... + 6314588651.

It is an arithmetic number, because the mean of its divisors is an integer number (9454863600).

Almost surely, 2^{4691739092040} is an apocalyptic number.

4691739092040 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 4691739092040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10892002867200).

4691739092040 is an abundant number, since it is smaller than the sum of its proper divisors (17092266642360).

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

4691739092040 is a wasteful number, since it uses less digits than its factorization.

4691739092040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 4691739092040 in words is "four trillion, six hundred ninety-one billion, seven hundred thirty-nine million, ninety-two thousand, forty".