140801649408 has 576 divisors, whose sum is σ = 495261527040. Its totient is φ = 39101460480.

The previous prime is 140801649403. The next prime is 140801649419. The reversal of 140801649408 is 804946108041.

140801649408 is a `hidden beast` number, since 1 + 4 + 0 + 80 + 164 + 9 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (140801649403) 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, 145006363 + ... + 145007333.

It is an arithmetic number, because the mean of its divisors is an integer number (859829040).

Almost surely, 2^140801649408 is an apocalyptic number.

140801649408 is a gapful number since it is divisible by the number (18) 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 140801649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247630763520).

140801649408 is an abundant number, since it is smaller than the sum of its proper divisors (354459877632).

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

140801649408 is an frugal number, since it uses more digits than its factorization.

140801649408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 140801649408 in words is "one hundred forty billion, eight hundred one million, six hundred forty-nine thousand, four hundred eight".