40245172143456 has 384 divisors, whose sum is σ = 124406029440000. Its totient is φ = 11386143240192.

The previous prime is 40245172143287. The next prime is 40245172143487. The reversal of 40245172143456 is 65434127154204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9543553060 + ... + 9543557276.

It is an arithmetic number, because the mean of its divisors is an integer number (323974035000).

Almost surely, 2^{40245172143456} 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 40245172143456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203014720000).

40245172143456 is an abundant number, since it is smaller than the sum of its proper divisors (84160857296544).

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

40245172143456 is a wasteful number, since it uses less digits than its factorization.

40245172143456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7019 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 40245172143456 in words is "forty trillion, two hundred forty-five billion, one hundred seventy-two million, one hundred forty-three thousand, four hundred fifty-six".