4112951040 has 576 divisors, whose sum is σ = 16482816000. Its totient is φ = 962150400.

The previous prime is 4112951021. The next prime is 4112951069. The reversal of 4112951040 is 401592114.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4112950995 and 4112951013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11784786 + ... + 11785134.

It is an arithmetic number, because the mean of its divisors is an integer number (28616000).

Almost surely, 2^4112951040 is an apocalyptic number.

4112951040 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 4112951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241408000).

4112951040 is an abundant number, since it is smaller than the sum of its proper divisors (12369864960).

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

4112951040 is a wasteful number, since it uses less digits than its factorization.

4112951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 4112951040 is about 64132.2932694598. The cubic root of 4112951040 is about 1602.2041289072.

The spelling of 4112951040 in words is "four billion, one hundred twelve million, nine hundred fifty-one thousand, forty".