400279761180 has 384 divisors, whose sum is σ = 1361284915200. Its totient is φ = 97054184448.

The previous prime is 400279761179. The next prime is 400279761187. The reversal of 400279761180 is 81167972004.

It is a happy number.

400279761180 is a `hidden beast` number, since 4 + 0 + 0 + 27 + 9 + 7 + 611 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400279761187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 456418902 + ... + 456419778.

It is an arithmetic number, because the mean of its divisors is an integer number (3545012800).

Almost surely, 2^400279761180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400279761180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680642457600).

400279761180 is an abundant number, since it is smaller than the sum of its proper divisors (961005154020).

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

400279761180 is a wasteful number, since it uses less digits than its factorization.

400279761180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 400279761180 in words is "four hundred billion, two hundred seventy-nine million, seven hundred sixty-one thousand, one hundred eighty".