914053140 has 768 divisors, whose sum is σ = 4064256000. Its totient is φ = 164229120.

The previous prime is 914053079. The next prime is 914053157. The reversal of 914053140 is 41350419.

914053140 is a `hidden beast` number, since 91 + 4 + 0 + 531 + 40 = 666.

914053140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10270216 + ... + 10270304.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^914053140 is an apocalyptic number.

914053140 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 914053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

914053140 is an abundant number, since it is smaller than the sum of its proper divisors (3150202860).

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

914053140 is a wasteful number, since it uses less digits than its factorization.

914053140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 914053140 is about 30233.3117603745. The cubic root of 914053140 is about 970.4886969580.

The spelling of 914053140 in words is "nine hundred fourteen million, fifty-three thousand, one hundred forty".