40670346784320 has 672 divisors, whose sum is σ = 161938888151040. Its totient is φ = 9630179112960.

The previous prime is 40670346784241. The next prime is 40670346784321. The reversal of 40670346784320 is 2348764307604.

40670346784320 is a `hidden beast` number, since 4 + 0 + 6 + 70 + 3 + 467 + 84 + 32 + 0 = 666.

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 (40670346784321) 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, 36227601 + ... + 37333359.

It is an arithmetic number, because the mean of its divisors is an integer number (240980488320).

Almost surely, 2^{40670346784320} is an apocalyptic number.

40670346784320 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 40670346784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80969444075520).

40670346784320 is an abundant number, since it is smaller than the sum of its proper divisors (121268541366720).

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

40670346784320 is a wasteful number, since it uses less digits than its factorization.

40670346784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105845 (or 1105823 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 40670346784320 in words is "forty trillion, six hundred seventy billion, three hundred forty-six million, seven hundred eighty-four thousand, three hundred twenty".