612640041250410 has 288 divisors, whose sum is σ = 1700074407245760. Its totient is φ = 152622005124096.

The previous prime is 612640041250399. The next prime is 612640041250427. The reversal of 612640041250410 is 14052140046216.

612640041250410 is a `hidden beast` number, since 6 + 1 + 2 + 640 + 0 + 4 + 1 + 2 + 5 + 0 + 4 + 1 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44033633614 + ... + 44033647526.

It is an arithmetic number, because the mean of its divisors is an integer number (5903036136270).

Almost surely, 2^{612640041250410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612640041250410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850037203622880).

612640041250410 is an abundant number, since it is smaller than the sum of its proper divisors (1087434365995350).

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

612640041250410 is a wasteful number, since it uses less digits than its factorization.

612640041250410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15142 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 612640041250410 its reverse (14052140046216), we get a palindrome (626692181296626).

The spelling of 612640041250410 in words is "six hundred twelve trillion, six hundred forty billion, forty-one million, two hundred fifty thousand, four hundred ten".