40213211424 has 96 divisors (see below), whose sum is σ = 108509103360. Its totient is φ = 13030520832.

The previous prime is 40213211419. The next prime is 40213211449. The reversal of 40213211424 is 42411231204.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 40213211394 and 40213211403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4574137 + ... + 4582919.

It is an arithmetic number, because the mean of its divisors is an integer number (1130303160).

Almost surely, 2^40213211424 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 40213211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54254551680).

40213211424 is an abundant number, since it is smaller than the sum of its proper divisors (68295891936).

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

40213211424 is a wasteful number, since it uses less digits than its factorization.

40213211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40213211424 its reverse (42411231204), we get a palindrome (82624442628).

The spelling of 40213211424 in words is "forty billion, two hundred thirteen million, two hundred eleven thousand, four hundred twenty-four".