40603170896640 has 3456 divisors, whose sum is σ = 173623390617600. Its totient is φ = 8947932364800.

The previous prime is 40603170896597. The next prime is 40603170896641. The reversal of 40603170896640 is 4669807130604.

40603170896640 is a `hidden beast` number, since 406 + 0 + 3 + 170 + 8 + 9 + 6 + 64 + 0 = 666.

40603170896640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (40603170896641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 309947869375 + ... + 309947869505.

It is an arithmetic number, because the mean of its divisors is an integer number (50238249600).

Almost surely, 2^{40603170896640} is an apocalyptic number.

40603170896640 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 40603170896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86811695308800).

40603170896640 is an abundant number, since it is smaller than the sum of its proper divisors (133020219720960).

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

40603170896640 is a wasteful number, since it uses less digits than its factorization.

40603170896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 40603170896640 in words is "forty trillion, six hundred three billion, one hundred seventy million, eight hundred ninety-six thousand, six hundred forty".