40102211430 has 160 divisors (see below), whose sum is σ = 112766385600. Its totient is φ = 10206459648.

The previous prime is 40102211411. The next prime is 40102211497. The reversal of 40102211430 is 3411220104.

40102211430 is a `hidden beast` number, since 4 + 0 + 10 + 221 + 1 + 430 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9480556 + ... + 9484784.

It is an arithmetic number, because the mean of its divisors is an integer number (704789910).

Almost surely, 2^40102211430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40102211430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56383192800).

40102211430 is an abundant number, since it is smaller than the sum of its proper divisors (72664174170).

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

40102211430 is a wasteful number, since it uses less digits than its factorization.

40102211430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4771 counting only the distinct ones).

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

Adding to 40102211430 its reverse (3411220104), we get a palindrome (43513431534).

The spelling of 40102211430 in words is "forty billion, one hundred two million, two hundred eleven thousand, four hundred thirty".