4119734091900 has 288 divisors, whose sum is σ = 14500696896000. Its totient is φ = 882068520960.

The previous prime is 4119734091899. The next prime is 4119734091929. The reversal of 4119734091900 is 91904379114.

It is a super-2 number, since 2×4119734091900² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4119734091900.

It is a congruent number.

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, 2971036 + ... + 4131164.

It is an arithmetic number, because the mean of its divisors is an integer number (50349642000).

Almost surely, 2^{4119734091900} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4119734091900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250348448000).

4119734091900 is an abundant number, since it is smaller than the sum of its proper divisors (10380962804100).

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

4119734091900 is a wasteful number, since it uses less digits than its factorization.

4119734091900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160261 (or 1160254 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 4119734091900 in words is "four trillion, one hundred nineteen billion, seven hundred thirty-four million, ninety-one thousand, nine hundred".