10420132442104 has 128 divisors (see below), whose sum is σ = 25178576486400. Its totient is φ = 3923509104000.

The previous prime is 10420132442101. The next prime is 10420132442147. The reversal of 10420132442104 is 40124423102401.

It is a super-2 number, since 2×10420132442104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420132442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13742749 + ... + 14481139.

It is an arithmetic number, because the mean of its divisors is an integer number (196707628800).

Almost surely, 2^{10420132442104} is an apocalyptic number.

10420132442104 is a gapful number since it is divisible by the number (14) 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 10420132442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589288243200).

10420132442104 is an abundant number, since it is smaller than the sum of its proper divisors (14758444044296).

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

10420132442104 is a wasteful number, since it uses less digits than its factorization.

10420132442104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739185 (or 739181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10420132442104 its reverse (40124423102401), we get a palindrome (50544555544505).

The spelling of 10420132442104 in words is "ten trillion, four hundred twenty billion, one hundred thirty-two million, four hundred forty-two thousand, one hundred four".