10437323783040 has 2048 divisors, whose sum is σ = 46834039296000. Its totient is φ = 2151766425600.

The previous prime is 10437323783021. The next prime is 10437323783041. The reversal of 10437323783040 is 4038732373401.

10437323783040 is a `hidden beast` number, since 1 + 0 + 4 + 373 + 237 + 8 + 3 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10437323783041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38800460026 + ... + 38800460294.

It is an arithmetic number, because the mean of its divisors is an integer number (22868183250).

Almost surely, 2^{10437323783040} is an apocalyptic number.

10437323783040 is a gapful number since it is divisible by the number (10) 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 10437323783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417019648000).

10437323783040 is an abundant number, since it is smaller than the sum of its proper divisors (36396715512960).

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

10437323783040 is a wasteful number, since it uses less digits than its factorization.

10437323783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 10437323783040 in words is "ten trillion, four hundred thirty-seven billion, three hundred twenty-three million, seven hundred eighty-three thousand, forty".