53114941440 has 1248 divisors, whose sum is σ = 225219211776. Its totient is φ = 11418992640.

The previous prime is 53114941421. The next prime is 53114941447. The reversal of 53114941440 is 4414941135.

53114941440 is a `hidden beast` number, since 5 + 31 + 149 + 41 + 440 = 666.

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 = 53114941395 and 53114941404.

It is not an unprimeable number, because it can be changed into a prime (53114941447) 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, 792760287 + ... + 792760353.

It is an arithmetic number, because the mean of its divisors is an integer number (180464112).

Almost surely, 2^53114941440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53114941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112609605888).

53114941440 is an abundant number, since it is smaller than the sum of its proper divisors (172104270336).

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

53114941440 is a wasteful number, since it uses less digits than its factorization.

53114941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 53114941440 in words is "fifty-three billion, one hundred fourteen million, nine hundred forty-one thousand, four hundred forty".