1032908666400 has 1296 divisors, whose sum is σ = 4121353716480. Its totient is φ = 243042508800.

The previous prime is 1032908666233. The next prime is 1032908666401. The reversal of 1032908666400 is 46668092301.

1032908666400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032908666401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5243191102 + ... + 5243191298.

It is an arithmetic number, because the mean of its divisors is an integer number (3180056880).

Almost surely, 2^{1032908666400} is an apocalyptic number.

1032908666400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032908666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060676858240).

1032908666400 is an abundant number, since it is smaller than the sum of its proper divisors (3088445050080).

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

1032908666400 is a wasteful number, since it uses less digits than its factorization.

1032908666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1032908666400 in words is "one trillion, thirty-two billion, nine hundred eight million, six hundred sixty-six thousand, four hundred".