40434355440000 has 1280 divisors, whose sum is σ = 151807730976000. Its totient is φ = 10589792256000.

The previous prime is 40434355439957. The next prime is 40434355440023. The reversal of 40434355440000 is 4455343404.

40434355440000 is a `hidden beast` number, since 40 + 43 + 4 + 35 + 544 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54714959631 + ... + 54714960369.

It is an arithmetic number, because the mean of its divisors is an integer number (118599789825).

Almost surely, 2^{40434355440000} is an apocalyptic number.

40434355440000 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 40434355440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75903865488000).

40434355440000 is an abundant number, since it is smaller than the sum of its proper divisors (111373375536000).

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

40434355440000 is an equidigital number, since it uses as much as digits as its factorization.

40434355440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 40434355440000 in words is "forty trillion, four hundred thirty-four billion, three hundred fifty-five million, four hundred forty thousand".