614231201040 has 320 divisors, whose sum is σ = 2039851226880. Its totient is φ = 152351539200.

The previous prime is 614231200981. The next prime is 614231201053. The reversal of 614231201040 is 40102132416.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 614231201040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304526112 + ... + 304528128.

It is an arithmetic number, because the mean of its divisors is an integer number (6374535084).

Almost surely, 2^614231201040 is an apocalyptic number.

614231201040 is a gapful number since it is divisible by the number (60) 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 614231201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019925613440).

614231201040 is an abundant number, since it is smaller than the sum of its proper divisors (1425620025840).

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

614231201040 is a wasteful number, since it uses less digits than its factorization.

614231201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 614231201040 its reverse (40102132416), we get a palindrome (654333333456).

The spelling of 614231201040 in words is "six hundred fourteen billion, two hundred thirty-one million, two hundred one thousand, forty".