4132400141440 has 64 divisors (see below), whose sum is σ = 9884962114560. Its totient is φ = 1651965668352.

The previous prime is 4132400141423. The next prime is 4132400141459. The reversal of 4132400141440 is 441410042314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4132400141399 and 4132400141408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877014 + ... + 3005653.

It is an arithmetic number, because the mean of its divisors is an integer number (154452533040).

Almost surely, 2^{4132400141440} is an apocalyptic number.

4132400141440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132400141440 is an abundant number, since it is smaller than the sum of its proper divisors (5752561973120).

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

4132400141440 is a wasteful number, since it uses less digits than its factorization.

4132400141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884349 (or 3884337 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 4132400141440 its reverse (441410042314), we get a palindrome (4573810183754).

The spelling of 4132400141440 in words is "four trillion, one hundred thirty-two billion, four hundred million, one hundred forty-one thousand, four hundred forty".