1013867245440 has 1024 divisors, whose sum is σ = 4224503808000. Its totient is φ = 225003184128.

The previous prime is 1013867245423. The next prime is 1013867245451. The reversal of 1013867245440 is 445427683101.

1013867245440 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 86 + 7 + 24 + 544 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 790231039 + ... + 790232321.

It is an arithmetic number, because the mean of its divisors is an integer number (4125492000).

Almost surely, 2^{1013867245440} is an apocalyptic number.

1013867245440 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 1013867245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112251904000).

1013867245440 is an abundant number, since it is smaller than the sum of its proper divisors (3210636562560).

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

1013867245440 is a wasteful number, since it uses less digits than its factorization.

1013867245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1013867245440 in words is "one trillion, thirteen billion, eight hundred sixty-seven million, two hundred forty-five thousand, four hundred forty".