1420684407000 has 768 divisors, whose sum is σ = 5288541148800. Its totient is φ = 352700006400.

The previous prime is 1420684406969. The next prime is 1420684407001. The reversal of 1420684407000 is 7044860241.

1420684407000 is a `hidden beast` number, since 1 + 4 + 206 + 8 + 440 + 7 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420684407001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 756890062 + ... + 756891938.

Almost surely, 2^{1420684407000} is an apocalyptic number.

1420684407000 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 1420684407000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644270574400).

1420684407000 is an abundant number, since it is smaller than the sum of its proper divisors (3867856741800).

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

1420684407000 is a wasteful number, since it uses less digits than its factorization.

1420684407000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1420684407000 in words is "one trillion, four hundred twenty billion, six hundred eighty-four million, four hundred seven thousand".