1439428328100 has 720 divisors, whose sum is σ = 5425181849472. Its totient is φ = 323352207360.

The previous prime is 1439428328057. The next prime is 1439428328141. The reversal of 1439428328100 is 18238249341.

1439428328100 is a `hidden beast` number, since 1 + 4 + 3 + 94 + 283 + 281 + 0 + 0 = 666.

It is a super-2 number, since 2×1439428328100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 863483467 + ... + 863485133.

Almost surely, 2^{1439428328100} is an apocalyptic number.

1439428328100 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 1439428328100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712590924736).

1439428328100 is an abundant number, since it is smaller than the sum of its proper divisors (3985753521372).

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

1439428328100 is a wasteful number, since it uses less digits than its factorization.

1439428328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1439428328100 in words is "one trillion, four hundred thirty-nine billion, four hundred twenty-eight million, three hundred twenty-eight thousand, one hundred".