1430457949440 has 432 divisors, whose sum is σ = 5443375811328. Its totient is φ = 344619270144.

The previous prime is 1430457949433. The next prime is 1430457949579. The reversal of 1430457949440 is 449497540341.

It is a happy number.

1430457949440 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 45 + 79 + 494 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6937107 + ... + 7140333.

Almost surely, 2^{1430457949440} is an apocalyptic number.

1430457949440 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 1430457949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721687905664).

1430457949440 is an abundant number, since it is smaller than the sum of its proper divisors (4012917861888).

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

1430457949440 is a wasteful number, since it uses less digits than its factorization.

1430457949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203314 (or 203297 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 1430457949440 in words is "one trillion, four hundred thirty billion, four hundred fifty-seven million, nine hundred forty-nine thousand, four hundred forty".