1351045641024 has 168 divisors, whose sum is σ = 3919329187488. Its totient is φ = 444936360960.

The previous prime is 1351045640977. The next prime is 1351045641031. The reversal of 1351045641024 is 4201465401531.

1351045641024 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 4 + 5 + 641 + 0 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1351045641024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17089074 + ... + 17167950.

Almost surely, 2^{1351045641024} 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 1351045641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959664593744).

1351045641024 is an abundant number, since it is smaller than the sum of its proper divisors (2568283546464).

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

1351045641024 is a wasteful number, since it uses less digits than its factorization.

1351045641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79253 (or 79240 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 1351045641024 in words is "one trillion, three hundred fifty-one billion, forty-five million, six hundred forty-one thousand, twenty-four".