4237826351040 has 1120 divisors, whose sum is σ = 16506075801600. Its totient is φ = 1028104151040.

The previous prime is 4237826350937. The next prime is 4237826351141. The reversal of 4237826351040 is 401536287324.

4237826351040 is a `hidden beast` number, since 4 + 2 + 3 + 7 + 8 + 2 + 635 + 1 + 0 + 4 + 0 = 666.

4237826351040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2122095322 + ... + 2122097318.

It is an arithmetic number, because the mean of its divisors is an integer number (14737567680).

Almost surely, 2^{4237826351040} is an apocalyptic number.

4237826351040 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 4237826351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253037900800).

4237826351040 is an abundant number, since it is smaller than the sum of its proper divisors (12268249450560).

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

4237826351040 is a wasteful number, since it uses less digits than its factorization.

4237826351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4237826351040 in words is "four trillion, two hundred thirty-seven billion, eight hundred twenty-six million, three hundred fifty-one thousand, forty".