1034191807740 has 432 divisors, whose sum is σ = 4161108998592. Its totient is φ = 205367242752.

The previous prime is 1034191807697. The next prime is 1034191807769. The reversal of 1034191807740 is 477081914301.

1034191807740 is a `hidden beast` number, since 10 + 3 + 419 + 180 + 7 + 7 + 40 = 666.

1034191807740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1683937 + ... + 2214503.

It is an arithmetic number, because the mean of its divisors is an integer number (9632196756).

Almost surely, 2^{1034191807740} is an apocalyptic number.

1034191807740 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 1034191807740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080554499296).

1034191807740 is an abundant number, since it is smaller than the sum of its proper divisors (3126917190852).

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

1034191807740 is a wasteful number, since it uses less digits than its factorization.

1034191807740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530626 (or 530614 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1034191807740 in words is "one trillion, thirty-four billion, one hundred ninety-one million, eight hundred seven thousand, seven hundred forty".