1014135744804 has 768 divisors, whose sum is σ = 3380160430080. Its totient is φ = 228766187520.

The previous prime is 1014135744749. The next prime is 1014135744841. The reversal of 1014135744804 is 4084475314101.

1014135744804 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1497984514 + ... + 1497985190.

It is an arithmetic number, because the mean of its divisors is an integer number (4401250560).

Almost surely, 2^{1014135744804} is an apocalyptic number.

1014135744804 is a gapful number since it is divisible by the number (14) 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 1014135744804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690080215040).

1014135744804 is an abundant number, since it is smaller than the sum of its proper divisors (2366024685276).

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

1014135744804 is a wasteful number, since it uses less digits than its factorization.

1014135744804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 1014135744804 in words is "one trillion, fourteen billion, one hundred thirty-five million, seven hundred forty-four thousand, eight hundred four".