40101413310 has 192 divisors, whose sum is σ = 124939713600. Its totient is φ = 9125996544.

The previous prime is 40101413293. The next prime is 40101413323. The reversal of 40101413310 is 1331410104.

40101413310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40101413310² (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3076086 + ... + 3089094.

It is an arithmetic number, because the mean of its divisors is an integer number (650727675).

Almost surely, 2^40101413310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40101413310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62469856800).

40101413310 is an abundant number, since it is smaller than the sum of its proper divisors (84838300290).

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

40101413310 is a wasteful number, since it uses less digits than its factorization.

40101413310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13272 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 40101413310 its reverse (1331410104), we get a palindrome (41432823414).

The spelling of 40101413310 in words is "forty billion, one hundred one million, four hundred thirteen thousand, three hundred ten".