4111997400 has 768 divisors, whose sum is σ = 17570304000. Its totient is φ = 873400320.

The previous prime is 4111997399. The next prime is 4111997401. The reversal of 4111997400 is 47991114.

It is an interprime number because it is at equal distance from previous prime (4111997399) and next prime (4111997401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111997401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52050561 + ... + 52050639.

It is an arithmetic number, because the mean of its divisors is an integer number (22878000).

Almost surely, 2^4111997400 is an apocalyptic number.

4111997400 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 4111997400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785152000).

4111997400 is an abundant number, since it is smaller than the sum of its proper divisors (13458306600).

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

4111997400 is a wasteful number, since it uses less digits than its factorization.

4111997400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 4111997400 is about 64124.8578945794. The cubic root of 4111997400 is about 1602.0802888683.

The spelling of 4111997400 in words is "four billion, one hundred eleven million, nine hundred ninety-seven thousand, four hundred".