1431280758144 has 256 divisors, whose sum is σ = 3955142338560. Its totient is φ = 458241638400.

The previous prime is 1431280758143. The next prime is 1431280758157. The reversal of 1431280758144 is 4418570821341.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 1431280758093 and 1431280758102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431280758143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1047022549 + ... + 1047023915.

It is an arithmetic number, because the mean of its divisors is an integer number (15449774760).

Almost surely, 2^{1431280758144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431280758144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977571169280).

1431280758144 is an abundant number, since it is smaller than the sum of its proper divisors (2523861580416).

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

1431280758144 is a wasteful number, since it uses less digits than its factorization.

1431280758144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 1431280758144 in words is "one trillion, four hundred thirty-one billion, two hundred eighty million, seven hundred fifty-eight thousand, one hundred forty-four".