102034401444 has 72 divisors (see below), whose sum is σ = 268356848760. Its totient is φ = 32648781312.

The previous prime is 102034401437. The next prime is 102034401457. The reversal of 102034401444 is 444104430201.

102034401444 is a `hidden beast` number, since 1 + 0 + 203 + 440 + 14 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19010894400 + 83023507044 = 137880^2 + 288138^2 .

It is a super-2 number, since 2×102034401444² (a number of 23 digits) contains 22 as substring.

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, 101857 + ... + 463080.

It is an arithmetic number, because the mean of its divisors is an integer number (3727178455).

Almost surely, 2^102034401444 is an apocalyptic number.

It is an amenable number.

102034401444 is an abundant number, since it is smaller than the sum of its proper divisors (166322447316).

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

102034401444 is a wasteful number, since it uses less digits than its factorization.

102034401444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565149 (or 565144 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 102034401444 its reverse (444104430201), we get a palindrome (546138831645).

The spelling of 102034401444 in words is "one hundred two billion, thirty-four million, four hundred one thousand, four hundred forty-four".