1430399687640 has 1280 divisors, whose sum is σ = 5750072064000. Its totient is φ = 281905827840.

The previous prime is 1430399687609. The next prime is 1430399687657. The reversal of 1430399687640 is 467869930341.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 7260912022 + ... + 7260912218.

It is an arithmetic number, because the mean of its divisors is an integer number (4492243800).

Almost surely, 2^{1430399687640} is an apocalyptic number.

1430399687640 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 1430399687640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875036032000).

1430399687640 is an abundant number, since it is smaller than the sum of its proper divisors (4319672376360).

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

1430399687640 is a wasteful number, since it uses less digits than its factorization.

1430399687640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 1430399687640 in words is "one trillion, four hundred thirty billion, three hundred ninety-nine million, six hundred eighty-seven thousand, six hundred forty".