140400024123100 has 288 divisors, whose sum is σ = 353774087009280. Its totient is φ = 47370253731840.

The previous prime is 140400024123067. The next prime is 140400024123101. The reversal of 140400024123100 is 1321420004041.

It is a happy number.

It is a super-2 number, since 2×140400024123100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140400024123101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34606856272 + ... + 34606860328.

It is an arithmetic number, because the mean of its divisors is an integer number (1228382246560).

Almost surely, 2^{140400024123100} is an apocalyptic number.

140400024123100 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 140400024123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176887043504640).

140400024123100 is an abundant number, since it is smaller than the sum of its proper divisors (213374062886180).

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

140400024123100 is a wasteful number, since it uses less digits than its factorization.

140400024123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 140400024123100 its reverse (1321420004041), we get a palindrome (141721444127141).

The spelling of 140400024123100 in words is "one hundred forty trillion, four hundred billion, twenty-four million, one hundred twenty-three thousand, one hundred".