40101244210104 has 256 divisors, whose sum is σ = 128297356185600. Its totient is φ = 10143668812800.

The previous prime is 40101244210019. The next prime is 40101244210141.

40101244210104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9947764 + ... + 13385084.

It is an arithmetic number, because the mean of its divisors is an integer number (501161547600).

Almost surely, 2^{40101244210104} is an apocalyptic number.

40101244210104 is a gapful number since it is divisible by the number (44) 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 40101244210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64148678092800).

40101244210104 is an abundant number, since it is smaller than the sum of its proper divisors (88196111975496).

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

40101244210104 is a wasteful number, since it uses less digits than its factorization.

40101244210104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437514 (or 3437510 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4010124 and 4210104, that added together give a palindrome (8220228).

The spelling of 40101244210104 in words is "forty trillion, one hundred one billion, two hundred forty-four million, two hundred ten thousand, one hundred four".