101400391538208 has 288 divisors, whose sum is σ = 332593732703232. Its totient is φ = 28704773260800.

The previous prime is 101400391538143. The next prime is 101400391538213. The reversal of 101400391538208 is 802835193004101.

101400391538208 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 0 + 3 + 91 + 538 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166340335 + ... + 166948817.

It is an arithmetic number, because the mean of its divisors is an integer number (1154839349664).

Almost surely, 2^{101400391538208} is an apocalyptic number.

101400391538208 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 101400391538208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166296866351616).

101400391538208 is an abundant number, since it is smaller than the sum of its proper divisors (231193341165024).

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

101400391538208 is a wasteful number, since it uses less digits than its factorization.

101400391538208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609268 (or 609257 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 101400391538208 in words is "one hundred one trillion, four hundred billion, three hundred ninety-one million, five hundred thirty-eight thousand, two hundred eight".