40434013620 has 1536 divisors, whose sum is σ = 184968806400. Its totient is φ = 7054387200.

The previous prime is 40434013531. The next prime is 40434013649. The reversal of 40434013620 is 2631043404.

40434013620 is a `hidden beast` number, since 4 + 0 + 4 + 34 + 0 + 1 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 318377997 + ... + 318378123.

It is an arithmetic number, because the mean of its divisors is an integer number (120422400).

Almost surely, 2^40434013620 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 40434013620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92484403200).

40434013620 is an abundant number, since it is smaller than the sum of its proper divisors (144534792780).

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

40434013620 is a wasteful number, since it uses less digits than its factorization.

40434013620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 40434013620 in words is "forty billion, four hundred thirty-four million, thirteen thousand, six hundred twenty".