1434657687360 has 224 divisors, whose sum is σ = 4581991539072. Its totient is φ = 380314583040.

The previous prime is 1434657687349. The next prime is 1434657687391. The reversal of 1434657687360 is 637867564341.

It is a super-2 number, since 2×1434657687360² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1434657687294 and 1434657687303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425586475 + ... + 425589845.

Almost surely, 2^{1434657687360} is an apocalyptic number.

1434657687360 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 1434657687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290995769536).

1434657687360 is an abundant number, since it is smaller than the sum of its proper divisors (3147333851712).

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

1434657687360 is a wasteful number, since it uses less digits than its factorization.

1434657687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5871 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 1434657687360 in words is "one trillion, four hundred thirty-four billion, six hundred fifty-seven million, six hundred eighty-seven thousand, three hundred sixty".