1013451678720 has 528 divisors, whose sum is σ = 3921831251520. Its totient is φ = 249461047296.

The previous prime is 1013451678709. The next prime is 1013451678839. The reversal of 1013451678720 is 278761543101.

1013451678720 is a `hidden beast` number, since 1 + 0 + 1 + 34 + 516 + 7 + 87 + 20 = 666.

1013451678720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1013451678720² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16142751 + ... + 16205409.

Almost surely, 2^{1013451678720} is an apocalyptic number.

1013451678720 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 1013451678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960915625760).

1013451678720 is an abundant number, since it is smaller than the sum of its proper divisors (2908379572800).

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

1013451678720 is an equidigital number, since it uses as much as digits as its factorization.

1013451678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62712 (or 62682 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1013451678720 in words is "one trillion, thirteen billion, four hundred fifty-one million, six hundred seventy-eight thousand, seven hundred twenty".