671671400400 has 1080 divisors, whose sum is σ = 3185586671904. Its totient is φ = 128827238400.

The previous prime is 671671400381. The next prime is 671671400431. The reversal of 671671400400 is 4004176176.

671671400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×671671400400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25211887 + ... + 25238513.

Almost surely, 2^671671400400 is an apocalyptic number.

671671400400 is a gapful number since it is divisible by the number (60) 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 671671400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592793335952).

671671400400 is an abundant number, since it is smaller than the sum of its proper divisors (2513915271504).

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

671671400400 is a wasteful number, since it uses less digits than its factorization.

671671400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26689 (or 26668 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 671671400400 its reverse (4004176176), we get a palindrome (675675576576).

The spelling of 671671400400 in words is "six hundred seventy-one billion, six hundred seventy-one million, four hundred thousand, four hundred".