201429967640 has 256 divisors, whose sum is σ = 534957696000. Its totient is φ = 67518668800.

The previous prime is 201429967639. The next prime is 201429967643. The reversal of 201429967640 is 46769924102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201429967643) 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, 34435436 + ... + 34441284.

It is an arithmetic number, because the mean of its divisors is an integer number (2089678500).

Almost surely, 2^201429967640 is an apocalyptic number.

201429967640 is a gapful number since it is divisible by the number (20) 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 201429967640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267478848000).

201429967640 is an abundant number, since it is smaller than the sum of its proper divisors (333527728360).

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

201429967640 is a wasteful number, since it uses less digits than its factorization.

201429967640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 201429967640 in words is "two hundred one billion, four hundred twenty-nine million, nine hundred sixty-seven thousand, six hundred forty".