140881640400 has 360 divisors, whose sum is σ = 507203307000. Its totient is φ = 36169297920.

The previous prime is 140881640387. The next prime is 140881640407. The reversal of 140881640400 is 4046188041.

140881640400 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 8 + 1 + 640 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 95859590544 + 45022049856 = 309612^2 + 212184^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (140881640407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40609866 + ... + 40613334.

It is an arithmetic number, because the mean of its divisors is an integer number (1408898075).

Almost surely, 2^140881640400 is an apocalyptic number.

140881640400 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 140881640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253601653500).

140881640400 is an abundant number, since it is smaller than the sum of its proper divisors (366321666600).

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

140881640400 is a wasteful number, since it uses less digits than its factorization.

140881640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 140881640400 in words is "one hundred forty billion, eight hundred eighty-one million, six hundred forty thousand, four hundred".