401702126080 has 80 divisors (see below), whose sum is σ = 963945082584. Its totient is φ = 160547143680.

The previous prime is 401702126053. The next prime is 401702126083. The reversal of 401702126080 is 80621207104.

It can be written as a sum of positive squares in 4 ways, for example, as 251393937664 + 150308188416 = 501392^2 + 387696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×401702126080² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401702126083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3040600 + ... + 3169960.

Almost surely, 2^401702126080 is an apocalyptic number.

401702126080 is a gapful number since it is divisible by the number (40) 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 401702126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481972541292).

401702126080 is an abundant number, since it is smaller than the sum of its proper divisors (562242956504).

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

401702126080 is a wasteful number, since it uses less digits than its factorization.

401702126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130597 (or 130581 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The spelling of 401702126080 in words is "four hundred one billion, seven hundred two million, one hundred twenty-six thousand, eighty".