1332400040 has 32 divisors (see below), whose sum is σ = 3009069000. Its totient is φ = 530974464.

The previous prime is 1332400031. The next prime is 1332400087. The reversal of 1332400040 is 400042331.

It can be written as a sum of positive squares in 4 ways, for example, as 763195876 + 569204164 = 27626^2 + 23858^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1332399991 and 1332400018.

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, 51155 + ... + 72674.

Almost surely, 2^1332400040 is an apocalyptic number.

1332400040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332400040 is an abundant number, since it is smaller than the sum of its proper divisors (1676668960).

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

1332400040 is a wasteful number, since it uses less digits than its factorization.

1332400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124109 (or 124105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1332400040 is about 36502.0552846001. The cubic root of 1332400040 is about 1100.3855507988.

Adding to 1332400040 its reverse (400042331), we get a palindrome (1732442371).

The spelling of 1332400040 in words is "one billion, three hundred thirty-two million, four hundred thousand, forty".