140100408 has 256 divisors, whose sum is σ = 476160000. Its totient is φ = 38102400.

The previous prime is 140100391. The next prime is 140100409. The reversal of 140100408 is 804001041.

140100408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140100409) 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, 2296698 + ... + 2296758.

It is an arithmetic number, because the mean of its divisors is an integer number (1860000).

Almost surely, 2^140100408 is an apocalyptic number.

140100408 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 140100408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080000).

140100408 is an abundant number, since it is smaller than the sum of its proper divisors (336059592).

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

140100408 is a wasteful number, since it uses less digits than its factorization.

140100408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140100408 is about 11836.4018181202. The cubic root of 140100408 is about 519.3735157460.

Adding to 140100408 its reverse (804001041), we get a palindrome (944101449).

The spelling of 140100408 in words is "one hundred forty million, one hundred thousand, four hundred eight".