1431979249860 has 288 divisors, whose sum is σ = 4695640709760. Its totient is φ = 352064434176.

The previous prime is 1431979249781. The next prime is 1431979249871. The reversal of 1431979249860 is 689429791341.

1431979249860 is a `hidden beast` number, since 1 + 4 + 3 + 19 + 79 + 2 + 498 + 60 = 666.

It is a super-3 number, since 3×1431979249860³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40718044 + ... + 40753196.

It is an arithmetic number, because the mean of its divisors is an integer number (16304308020).

Almost surely, 2^{1431979249860} is an apocalyptic number.

1431979249860 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 1431979249860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347820354880).

1431979249860 is an abundant number, since it is smaller than the sum of its proper divisors (3263661459900).

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

1431979249860 is a wasteful number, since it uses less digits than its factorization.

1431979249860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35507 (or 35502 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 1431979249860 in words is "one trillion, four hundred thirty-one billion, nine hundred seventy-nine million, two hundred forty-nine thousand, eight hundred sixty".