1431416501460 has 240 divisors, whose sum is σ = 4907614219200. Its totient is φ = 346373314560.

The previous prime is 1431416501399. The next prime is 1431416501479. The reversal of 1431416501460 is 641056141341.

1431416501460 is a `hidden beast` number, since 1 + 4 + 3 + 141 + 6 + 50 + 1 + 460 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9674116 + ... + 9820964.

It is an arithmetic number, because the mean of its divisors is an integer number (20448392580).

Almost surely, 2^{1431416501460} is an apocalyptic number.

1431416501460 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 1431416501460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453807109600).

1431416501460 is an abundant number, since it is smaller than the sum of its proper divisors (3476197717740).

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

1431416501460 is a wasteful number, since it uses less digits than its factorization.

1431416501460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147428 (or 147417 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1431416501460 in words is "one trillion, four hundred thirty-one billion, four hundred sixteen million, five hundred one thousand, four hundred sixty".