45192591933440 has 1536 divisors, whose sum is σ = 137842992967680. Its totient is φ = 14150113689600.

The previous prime is 45192591933389. The next prime is 45192591933449. The reversal of 45192591933440 is 4433919529154.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45192591933440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45192591933449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 438763028429 + ... + 438763028531.

It is an arithmetic number, because the mean of its divisors is an integer number (89741531880).

Almost surely, 2^{45192591933440} is an apocalyptic number.

45192591933440 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 45192591933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68921496483840).

45192591933440 is an abundant number, since it is smaller than the sum of its proper divisors (92650401034240).

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

45192591933440 is a wasteful number, since it uses less digits than its factorization.

45192591933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 59.

The spelling of 45192591933440 in words is "forty-five trillion, one hundred ninety-two billion, five hundred ninety-one million, nine hundred thirty-three thousand, four hundred forty".