1348001407540 has 12 divisors (see below), whose sum is σ = 2830802955876. Its totient is φ = 539200563008.

The previous prime is 1348001407457. The next prime is 1348001407541. The reversal of 1348001407540 is 457041008431.

It can be written as a sum of positive squares in 2 ways, for example, as 1004881943844 + 343119463696 = 1002438^2 + 585764^2 .

It is a super-3 number, since 3×1348001407540³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1348001407540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348001407541) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 33700035169 + ... + 33700035208.

It is an arithmetic number, because the mean of its divisors is an integer number (235900246323).

Almost surely, 2^{1348001407540} is an apocalyptic number.

1348001407540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348001407540 is an abundant number, since it is smaller than the sum of its proper divisors (1482801548336).

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

1348001407540 is a wasteful number, since it uses less digits than its factorization.

1348001407540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67400070386 (or 67400070384 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 1348001407540 in words is "one trillion, three hundred forty-eight billion, one million, four hundred seven thousand, five hundred forty".