1010045340414 has 64 divisors (see below), whose sum is σ = 2450635292160. Its totient is φ = 305819280000.

The previous prime is 1010045340389. The next prime is 1010045340431. The reversal of 1010045340414 is 4140435400101.

1010045340414 is a `hidden beast` number, since 10 + 100 + 4 + 534 + 0 + 4 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 5479 + ... + 1421309.

It is an arithmetic number, because the mean of its divisors is an integer number (38291176440).

Almost surely, 2^{1010045340414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010045340414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225317646080).

1010045340414 is an abundant number, since it is smaller than the sum of its proper divisors (1440589951746).

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

1010045340414 is a wasteful number, since it uses less digits than its factorization.

1010045340414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417054 (or 1417048 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1010045340414 in words is "one trillion, ten billion, forty-five million, three hundred forty thousand, four hundred fourteen".