945024891840 has 448 divisors, whose sum is σ = 3533066035200. Its totient is φ = 236973146112.

The previous prime is 945024891827. The next prime is 945024891913. The reversal of 945024891840 is 48198420549.

It is a happy number.

945024891840 is a `hidden beast` number, since 9 + 4 + 502 + 4 + 8 + 91 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 228983857 + ... + 228987983.

Almost surely, 2^945024891840 is an apocalyptic number.

945024891840 is a gapful number since it is divisible by the number (90) 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 945024891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766533017600).

945024891840 is an abundant number, since it is smaller than the sum of its proper divisors (2588041143360).

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

945024891840 is a wasteful number, since it uses less digits than its factorization.

945024891840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5713 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 945024891840 in words is "nine hundred forty-five billion, twenty-four million, eight hundred ninety-one thousand, eight hundred forty".