140364041126400 has 5760 divisors, whose sum is σ = 676609814200320. Its totient is φ = 26977370112000.

The previous prime is 140364041126341. The next prime is 140364041126411. The reversal of 140364041126400 is 4621140463041.

140364041126400 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 6 + 4 + 0 + 4 + 1 + 1 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 665232422295 + ... + 665232422505.

It is an arithmetic number, because the mean of its divisors is an integer number (117466981632).

Almost surely, 2^{140364041126400} is an apocalyptic number.

140364041126400 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 140364041126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338304907100160).

140364041126400 is an abundant number, since it is smaller than the sum of its proper divisors (536245773073920).

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

140364041126400 is a wasteful number, since it uses less digits than its factorization.

140364041126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 140364041126400 its reverse (4621140463041), we get a palindrome (144985181589441).

The spelling of 140364041126400 in words is "one hundred forty trillion, three hundred sixty-four billion, forty-one million, one hundred twenty-six thousand, four hundred".