4011837850944 has 2688 divisors, whose sum is σ = 16651970150400. Its totient is φ = 932746752000.

The previous prime is 4011837850919. The next prime is 4011837850961. The reversal of 4011837850944 is 4490587381104.

4011837850944 is a `hidden beast` number, since 4 + 0 + 11 + 83 + 7 + 8 + 509 + 44 = 666.

It is a super-2 number, since 2×4011837850944² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 38949881997 + ... + 38949882099.

Almost surely, 2^{4011837850944} is an apocalyptic number.

4011837850944 is a gapful number since it is divisible by the number (44) 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 4011837850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325985075200).

4011837850944 is an abundant number, since it is smaller than the sum of its proper divisors (12640132299456).

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

4011837850944 is a wasteful number, since it uses less digits than its factorization.

4011837850944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4011837850944 in words is "four trillion, eleven billion, eight hundred thirty-seven million, eight hundred fifty thousand, nine hundred forty-four".