916251534240 has 768 divisors, whose sum is σ = 3535589191680. Its totient is φ = 194805596160.

The previous prime is 916251534203. The next prime is 916251534271. The reversal of 916251534240 is 42435152619.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 916251534192 and 916251534201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1961994487 + ... + 1961994953.

It is an arithmetic number, because the mean of its divisors is an integer number (4603631760).

Almost surely, 2^916251534240 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 916251534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767794595840).

916251534240 is an abundant number, since it is smaller than the sum of its proper divisors (2619337657440).

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

916251534240 is a wasteful number, since it uses less digits than its factorization.

916251534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

Adding to 916251534240 its reverse (42435152619), we get a palindrome (958686686859).

The spelling of 916251534240 in words is "nine hundred sixteen billion, two hundred fifty-one million, five hundred thirty-four thousand, two hundred forty".