40967700480 has 896 divisors, whose sum is σ = 171911412000. Its totient is φ = 9364045824.

The previous prime is 40967700479. The next prime is 40967700481. The reversal of 40967700480 is 8400776904.

40967700480 is a `hidden beast` number, since 40 + 9 + 67 + 70 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (40967700479) and next prime (40967700481).

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40967700481) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5852528637 + ... + 5852528643.

Almost surely, 2^40967700480 is an apocalyptic number.

40967700480 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 40967700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85955706000).

40967700480 is an abundant number, since it is smaller than the sum of its proper divisors (130943711520).

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

40967700480 is an frugal number, since it uses more digits than its factorization.

40967700480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40967700480 in words is "forty billion, nine hundred sixty-seven million, seven hundred thousand, four hundred eighty".