4610533134240 has 144 divisors (see below), whose sum is σ = 17163757499616. Its totient is φ = 1117704998400.

The previous prime is 4610533134239. The next prime is 4610533134281. The reversal of 4610533134240 is 424313350164.

4610533134240 is a `hidden beast` number, since 4 + 610 + 5 + 3 + 3 + 1 + 34 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 4610533134195 and 4610533134204.

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, 145518666 + ... + 145550345.

It is an arithmetic number, because the mean of its divisors is an integer number (119192760414).

Almost surely, 2^{4610533134240} is an apocalyptic number.

4610533134240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4610533134240 is an abundant number, since it is smaller than the sum of its proper divisors (12553224365376).

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

4610533134240 is a wasteful number, since it uses less digits than its factorization.

4610533134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291069043 (or 291069032 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 4610533134240 in words is "four trillion, six hundred ten billion, five hundred thirty-three million, one hundred thirty-four thousand, two hundred forty".