40429370046 has 96 divisors (see below), whose sum is σ = 93130783200. Its totient is φ = 11628509184.

The previous prime is 40429370041. The next prime is 40429370081. The reversal of 40429370046 is 64007392404.

It is a super-3 number, since 3×40429370046³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 40429369986 and 40429370013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40429370041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3352740 + ... + 3364776.

It is an arithmetic number, because the mean of its divisors is an integer number (970112325).

Almost surely, 2^40429370046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40429370046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46565391600).

40429370046 is an abundant number, since it is smaller than the sum of its proper divisors (52701413154).

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

40429370046 is a wasteful number, since it uses less digits than its factorization.

40429370046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12238 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 40429370046 in words is "forty billion, four hundred twenty-nine million, three hundred seventy thousand, forty-six".