4451456201640 has 128 divisors (see below), whose sum is σ = 15371935488000. Its totient is φ = 1010155707648.

The previous prime is 4451456201629. The next prime is 4451456201659. The reversal of 4451456201640 is 461026541544.

It is a happy number.

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 = 4451456201592 and 4451456201601.

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, 18945660 + ... + 19179179.

It is an arithmetic number, because the mean of its divisors is an integer number (120093246000).

Almost surely, 2^{4451456201640} is an apocalyptic number.

4451456201640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4451456201640 is an abundant number, since it is smaller than the sum of its proper divisors (10920479286360).

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

4451456201640 is a wasteful number, since it uses less digits than its factorization.

4451456201640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38124999 (or 38124995 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 4451456201640 in words is "four trillion, four hundred fifty-one billion, four hundred fifty-six million, two hundred one thousand, six hundred forty".