144642416040 has 96 divisors (see below), whose sum is σ = 487498546080. Its totient is φ = 38571308352.

The previous prime is 144642416033. The next prime is 144642416071. The reversal of 144642416040 is 40614246441.

144642416040 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 4 + 2 + 41 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144642415986 and 144642416004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7430734 + ... + 7450173.

It is an arithmetic number, because the mean of its divisors is an integer number (5078109855).

Almost surely, 2^144642416040 is an apocalyptic number.

144642416040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144642416040 is an abundant number, since it is smaller than the sum of its proper divisors (342856130040).

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

144642416040 is a wasteful number, since it uses less digits than its factorization.

144642416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14880933 (or 14880917 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 144642416040 in words is "one hundred forty-four billion, six hundred forty-two million, four hundred sixteen thousand, forty".