40212105024 has 224 divisors, whose sum is σ = 132905414656. Its totient is φ = 10446796800.

The previous prime is 40212105023. The next prime is 40212105029. The reversal of 40212105024 is 42050121204.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×40212105024² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212105023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153449 + ... + 1187799.

It is an arithmetic number, because the mean of its divisors is an integer number (593327744).

Almost surely, 2^40212105024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40212105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66452707328).

40212105024 is an abundant number, since it is smaller than the sum of its proper divisors (92693309632).

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

40212105024 is a wasteful number, since it uses less digits than its factorization.

40212105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34453 (or 34443 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 40212105024 its reverse (42050121204), we get a palindrome (82262226228).

The spelling of 40212105024 in words is "forty billion, two hundred twelve million, one hundred five thousand, twenty-four".