40045833946272 has 384 divisors, whose sum is σ = 132407607951360. Its totient is φ = 10294883343360.

The previous prime is 40045833946249. The next prime is 40045833946379. The reversal of 40045833946272 is 27264933854004.

It is a happy 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, 393299593 + ... + 393401399.

It is an arithmetic number, because the mean of its divisors is an integer number (344811479040).

Almost surely, 2^{40045833946272} is an apocalyptic number.

40045833946272 is a gapful number since it is divisible by the number (42) 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 40045833946272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66203803975680).

40045833946272 is an abundant number, since it is smaller than the sum of its proper divisors (92361774005088).

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

40045833946272 is a wasteful number, since it uses less digits than its factorization.

40045833946272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102384 (or 102376 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 40045833946272 in words is "forty trillion, forty-five billion, eight hundred thirty-three million, nine hundred forty-six thousand, two hundred seventy-two".