1403465134140 has 72 divisors (see below), whose sum is σ = 4257494409168. Its totient is φ = 374229515520.

The previous prime is 1403465134111. The next prime is 1403465134151. The reversal of 1403465134140 is 414315643041.

1403465134140 is a `hidden beast` number, since 1 + 40 + 3 + 465 + 13 + 4 + 140 = 666.

It is a super-3 number, since 3×1403465134140³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1403465134095 and 1403465134104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2194080 + ... + 2760600.

It is an arithmetic number, because the mean of its divisors is an integer number (59131866794).

Almost surely, 2^{1403465134140} is an apocalyptic number.

1403465134140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1403465134140 is an abundant number, since it is smaller than the sum of its proper divisors (2854029275028).

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

1403465134140 is a wasteful number, since it uses less digits than its factorization.

1403465134140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580299 (or 580294 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 1403465134140 in words is "one trillion, four hundred three billion, four hundred sixty-five million, one hundred thirty-four thousand, one hundred forty".