1431346775040 has 3520 divisors, whose sum is σ = 7046643631104. Its totient is φ = 269072990208.

The previous prime is 1431346775011. The next prime is 1431346775059. The reversal of 1431346775040 is 405776431341.

1431346775040 is a `hidden beast` number, since 1 + 4 + 3 + 134 + 6 + 7 + 7 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14756152272 + ... + 14756152368.

Almost surely, 2^{1431346775040} is an apocalyptic number.

1431346775040 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 1431346775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523321815552).

1431346775040 is an abundant number, since it is smaller than the sum of its proper divisors (5615296856064).

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

1431346775040 is a wasteful number, since it uses less digits than its factorization.

1431346775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 1431346775040 in words is "one trillion, four hundred thirty-one billion, three hundred forty-six million, seven hundred seventy-five thousand, forty".