140100413002000 has 320 divisors, whose sum is σ = 379337122584576. Its totient is φ = 49614240000000.

The previous prime is 140100413001917. The next prime is 140100413002009. The reversal of 140100413002000 is 200314001041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (140100413002009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135025185 + ... + 136058815.

Almost surely, 2^{140100413002000} is an apocalyptic number.

140100413002000 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 140100413002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189668561292288).

140100413002000 is an abundant number, since it is smaller than the sum of its proper divisors (239236709582576).

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

140100413002000 is a wasteful number, since it uses less digits than its factorization.

140100413002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033827 (or 1033811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 140100413002000 its reverse (200314001041), we get a palindrome (140300727003041).

The spelling of 140100413002000 in words is "one hundred forty trillion, one hundred billion, four hundred thirteen million, two thousand".