40130121024 has 168 divisors, whose sum is σ = 131550095040. Its totient is φ = 11457718272.

The previous prime is 40130121019. The next prime is 40130121043. The reversal of 40130121024 is 42012103104.

40130121024 is a `hidden beast` number, since 401 + 30 + 1 + 210 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×40130121024² (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 junction number, because it is equal to n+sod(n) for n = 40130120988 and 40130121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8073612 + ... + 8078580.

It is an arithmetic number, because the mean of its divisors is an integer number (783036280).

Almost surely, 2^40130121024 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 40130121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65775047520).

40130121024 is an abundant number, since it is smaller than the sum of its proper divisors (91419974016).

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

40130121024 is a wasteful number, since it uses less digits than its factorization.

40130121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6997 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40130121024 its reverse (42012103104), we get a palindrome (82142224128).

The spelling of 40130121024 in words is "forty billion, one hundred thirty million, one hundred twenty-one thousand, twenty-four".