914941440 has 640 divisors, whose sum is σ = 3896893440. Its totient is φ = 199065600.

The previous prime is 914941427. The next prime is 914941457. The reversal of 914941440 is 44149419.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 914941395 and 914941404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14999010 + ... + 14999070.

It is an arithmetic number, because the mean of its divisors is an integer number (6088896).

Almost surely, 2^914941440 is an apocalyptic number.

914941440 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 914941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948446720).

914941440 is an abundant number, since it is smaller than the sum of its proper divisors (2981952000).

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

914941440 is a wasteful number, since it uses less digits than its factorization.

914941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 914941440 is about 30247.9989420788. The cubic root of 914941440 is about 970.8029770062.

The spelling of 914941440 in words is "nine hundred fourteen million, nine hundred forty-one thousand, four hundred forty".