1280434080640 has 384 divisors, whose sum is σ = 3643965430560. Its totient is φ = 427360665600.

The previous prime is 1280434080587. The next prime is 1280434080643. The reversal of 1280434080640 is 460804340821.

It is a happy number.

It is a super-2 number, since 2×1280434080640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1280434080593 and 1280434080602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1280434080643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182212807 + ... + 182219833.

Almost surely, 2^{1280434080640} is an apocalyptic number.

1280434080640 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 1280434080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821982715280).

1280434080640 is an abundant number, since it is smaller than the sum of its proper divisors (2363531349920).

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

1280434080640 is a wasteful number, since it uses less digits than its factorization.

1280434080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 1280434080640 in words is "one trillion, two hundred eighty billion, four hundred thirty-four million, eighty thousand, six hundred forty".