3816505271040 has 288 divisors, whose sum is σ = 15196631256576. Its totient is φ = 793039994880.

The previous prime is 3816505271017. The next prime is 3816505271083. The reversal of 3816505271040 is 401725056183.

It is a happy number.

It is a super-2 number, since 2×3816505271040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3816505270983 and 3816505271001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6158097 + ... + 6749456.

It is an arithmetic number, because the mean of its divisors is an integer number (52766080752).

Almost surely, 2^{3816505271040} is an apocalyptic number.

3816505271040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3816505271040 is an abundant number, since it is smaller than the sum of its proper divisors (11380125985536).

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

3816505271040 is a wasteful number, since it uses less digits than its factorization.

3816505271040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12907595 (or 12907581 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 3816505271040 in words is "three trillion, eight hundred sixteen billion, five hundred five million, two hundred seventy-one thousand, forty".