1464407414431 has 8 divisors (see below), whose sum is σ = 1577342156544. Its totient is φ = 1351513817760.

The previous prime is 1464407414377. The next prime is 1464407414447. The reversal of 1464407414431 is 1344147044641.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1464407414431 - 2²¹ = 1464405317279 is a prime.

It is a super-2 number, since 2×1464407414431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1464407415431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10212415 + ... + 10354816.

It is an arithmetic number, because the mean of its divisors is an integer number (197167769568).

Almost surely, 2^{1464407414431} is an apocalyptic number.

1464407414431 is a deficient number, since it is larger than the sum of its proper divisors (112934742113).

1464407414431 is a wasteful number, since it uses less digits than its factorization.

1464407414431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572721.

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 1464407414431 in words is "one trillion, four hundred sixty-four billion, four hundred seven million, four hundred fourteen thousand, four hundred thirty-one".