4190816931840 has 3120 divisors, whose sum is σ = 19686794592960. Its totient is φ = 842764124160.

The previous prime is 4190816931827. The next prime is 4190816931869. The reversal of 4190816931840 is 481396180914.

4190816931840 is a `hidden beast` number, since 4 + 190 + 81 + 69 + 318 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 38447861706 + ... + 38447861814.

Almost surely, 2^{4190816931840} is an apocalyptic number.

4190816931840 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 4190816931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843397296480).

4190816931840 is an abundant number, since it is smaller than the sum of its proper divisors (15495977661120).

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

4190816931840 is a wasteful number, since it uses less digits than its factorization.

4190816931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 4190816931840 in words is "four trillion, one hundred ninety billion, eight hundred sixteen million, nine hundred thirty-one thousand, eight hundred forty".