40426386343600 has 240 divisors, whose sum is σ = 103444835356800. Its totient is φ = 15139069655040.

The previous prime is 40426386343571. The next prime is 40426386343633. The reversal of 40426386343600 is 634368362404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332538027 + ... + 332659573.

It is an arithmetic number, because the mean of its divisors is an integer number (431020147320).

Almost surely, 2^{40426386343600} is an apocalyptic number.

40426386343600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40426386343600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51722417678400).

40426386343600 is an abundant number, since it is smaller than the sum of its proper divisors (63018449013200).

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

40426386343600 is a wasteful number, since it uses less digits than its factorization.

40426386343600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122100 (or 122089 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 49.

The spelling of 40426386343600 in words is "forty trillion, four hundred twenty-six billion, three hundred eighty-six million, three hundred forty-three thousand, six hundred".