3961667742480 has 240 divisors, whose sum is σ = 15218892309504. Its totient is φ = 904712094720.

The previous prime is 3961667742479. The next prime is 3961667742509. The reversal of 3961667742480 is 842477661693.

It is a happy number.

3961667742480 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 66 + 77 + 424 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3961667742480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5277825 + ... + 5981535.

Almost surely, 2^{3961667742480} is an apocalyptic number.

3961667742480 is a gapful number since it is divisible by the number (30) 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 3961667742480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7609446154752).

3961667742480 is an abundant number, since it is smaller than the sum of its proper divisors (11257224567024).

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

3961667742480 is a wasteful number, since it uses less digits than its factorization.

3961667742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704854 (or 704845 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3961667742480 in words is "three trillion, nine hundred sixty-one billion, six hundred sixty-seven million, seven hundred forty-two thousand, four hundred eighty".