1213017755040 has 960 divisors, whose sum is σ = 5280556748544. Its totient is φ = 255365332992.

The previous prime is 1213017755011. The next prime is 1213017755063. The reversal of 1213017755040 is 405577103121.

1213017755040 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 1 + 77 + 550 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1213017754986 and 1213017755004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 727664287 + ... + 727665953.

Almost surely, 2^{1213017755040} is an apocalyptic number.

1213017755040 is a gapful number since it is divisible by the number (10) 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 1213017755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640278374272).

1213017755040 is an abundant number, since it is smaller than the sum of its proper divisors (4067538993504).

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

1213017755040 is a wasteful number, since it uses less digits than its factorization.

1213017755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 1213017755040 in words is "one trillion, two hundred thirteen billion, seventeen million, seven hundred fifty-five thousand, forty".