1407713681140 has 48 divisors (see below), whose sum is σ = 3188415358800. Its totient is φ = 518984801280.

The previous prime is 1407713681131. The next prime is 1407713681149. The reversal of 1407713681140 is 411863177041.

It is an interprime number because it is at equal distance from previous prime (1407713681131) and next prime (1407713681149).

It can be written as a sum of positive squares in 8 ways, for example, as 83621602276 + 1324092078864 = 289174^2 + 1150692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407713681149) 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, 3923665 + ... + 4267384.

It is an arithmetic number, because the mean of its divisors is an integer number (66425319975).

Almost surely, 2^{1407713681140} is an apocalyptic number.

1407713681140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407713681140 is an abundant number, since it is smaller than the sum of its proper divisors (1780701677660).

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

1407713681140 is a wasteful number, since it uses less digits than its factorization.

1407713681140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8191732 (or 8191730 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 1407713681140 in words is "one trillion, four hundred seven billion, seven hundred thirteen million, six hundred eighty-one thousand, one hundred forty".