40190319037440 has 1760 divisors, whose sum is σ = 173334850032960. Its totient is φ = 8773749964800.

The previous prime is 40190319037373. The next prime is 40190319037501. The reversal of 40190319037440 is 4473091309104.

40190319037440 is a `hidden beast` number, since 4 + 0 + 1 + 90 + 3 + 1 + 90 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2431495096 + ... + 2431511624.

It is an arithmetic number, because the mean of its divisors is an integer number (98485710246).

Almost surely, 2^{40190319037440} is an apocalyptic number.

40190319037440 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 40190319037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86667425016480).

40190319037440 is an abundant number, since it is smaller than the sum of its proper divisors (133144530995520).

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

40190319037440 is a wasteful number, since it uses less digits than its factorization.

40190319037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16631 (or 16604 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 40190319037440 in words is "forty trillion, one hundred ninety billion, three hundred nineteen million, thirty-seven thousand, four hundred forty".