1014626620240 has 80 divisors (see below), whose sum is σ = 2503294243200. Its totient is φ = 381625181696.

The previous prime is 1014626620223. The next prime is 1014626620243. The reversal of 1014626620240 is 420266264101.

1014626620240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1014626620196 and 1014626620205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014626620243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4564555 + ... + 4781674.

It is an arithmetic number, because the mean of its divisors is an integer number (31291178040).

Almost surely, 2^{1014626620240} is an apocalyptic number.

1014626620240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014626620240 is an abundant number, since it is smaller than the sum of its proper divisors (1488667622960).

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

1014626620240 is a wasteful number, since it uses less digits than its factorization.

1014626620240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346324 (or 9346318 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 1014626620240 in words is "one trillion, fourteen billion, six hundred twenty-six million, six hundred twenty thousand, two hundred forty".