1434757140960 has 768 divisors, whose sum is σ = 5741769535488. Its totient is φ = 295737753600.

The previous prime is 1434757140917. The next prime is 1434757140979. The reversal of 1434757140960 is 690417574341.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54830280 + ... + 54856440.

It is an arithmetic number, because the mean of its divisors is an integer number (7476262416).

Almost surely, 2^{1434757140960} is an apocalyptic number.

1434757140960 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 1434757140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870884767744).

1434757140960 is an abundant number, since it is smaller than the sum of its proper divisors (4307012394528).

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

1434757140960 is a wasteful number, since it uses less digits than its factorization.

1434757140960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26267 (or 26259 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 1434757140960 in words is "one trillion, four hundred thirty-four billion, seven hundred fifty-seven million, one hundred forty thousand, nine hundred sixty".