514140023040 has 288 divisors, whose sum is σ = 1877797748736. Its totient is φ = 117443420160.

The previous prime is 514140023021. The next prime is 514140023171. The reversal of 514140023040 is 40320041415.

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 514140023040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50287369 + ... + 50297591.

It is an arithmetic number, because the mean of its divisors is an integer number (6520131072).

Almost surely, 2^514140023040 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 514140023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938898874368).

514140023040 is an abundant number, since it is smaller than the sum of its proper divisors (1363657725696).

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

514140023040 is a wasteful number, since it uses less digits than its factorization.

514140023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12125 (or 12111 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 514140023040 its reverse (40320041415), we get a palindrome (554460064455).

The spelling of 514140023040 in words is "five hundred fourteen billion, one hundred forty million, twenty-three thousand, forty".