3962181400240 has 320 divisors, whose sum is σ = 10858505011200. Its totient is φ = 1316452912128.

The previous prime is 3962181400147. The next prime is 3962181400279. The reversal of 3962181400240 is 420041812693.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3962181400193 and 3962181400202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1606071487 + ... + 1606073953.

It is an arithmetic number, because the mean of its divisors is an integer number (33932828160).

Almost surely, 2^{3962181400240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962181400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429252505600).

3962181400240 is an abundant number, since it is smaller than the sum of its proper divisors (6896323610960).

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

3962181400240 is a wasteful number, since it uses less digits than its factorization.

3962181400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 3962181400240 in words is "three trillion, nine hundred sixty-two billion, one hundred eighty-one million, four hundred thousand, two hundred forty".