40316481976320 has 1152 divisors, whose sum is σ = 159885316281600. Its totient is φ = 9627281326080.

The previous prime is 40316481976319. The next prime is 40316481976327. The reversal of 40316481976320 is 2367918461304.

40316481976320 is a `hidden beast` number, since 4 + 0 + 3 + 16 + 481 + 97 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40316481976327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2241414367 + ... + 2241432353.

It is an arithmetic number, because the mean of its divisors is an integer number (138789337050).

Almost surely, 2^{40316481976320} is an apocalyptic number.

40316481976320 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 40316481976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79942658140800).

40316481976320 is an abundant number, since it is smaller than the sum of its proper divisors (119568834305280).

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

40316481976320 is a wasteful number, since it uses less digits than its factorization.

40316481976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18112 (or 18075 counting only the distinct ones).

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

The spelling of 40316481976320 in words is "forty trillion, three hundred sixteen billion, four hundred eighty-one million, nine hundred seventy-six thousand, three hundred twenty".