4101323464400 has 60 divisors (see below), whose sum is σ = 9955011466092. Its totient is φ = 1623616696320.

The previous prime is 4101323464391. The next prime is 4101323464409. The reversal of 4101323464400 is 44643231014.

It is an interprime number because it is at equal distance from previous prime (4101323464391) and next prime (4101323464409).

It can be written as a sum of positive squares in 6 ways, for example, as 30904233616 + 4070419230784 = 175796^2 + 2017528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101323464409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52813307 + ... + 52890906.

Almost surely, 2^{4101323464400} is an apocalyptic number.

4101323464400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101323464400 is an abundant number, since it is smaller than the sum of its proper divisors (5853688001692).

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

4101323464400 is a wasteful number, since it uses less digits than its factorization.

4101323464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105704328 (or 105704317 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 4101323464400 its reverse (44643231014), we get a palindrome (4145966695414).

The spelling of 4101323464400 in words is "four trillion, one hundred one billion, three hundred twenty-three million, four hundred sixty-four thousand, four hundred".