402180629760 has 1296 divisors, whose sum is σ = 1787441894784. Its totient is φ = 84778057728.

The previous prime is 402180629647. The next prime is 402180629761. The reversal of 402180629760 is 67926081204.

It is a happy number.

402180629760 is a `hidden beast` number, since 4 + 0 + 2 + 18 + 0 + 629 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (402180629761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 367959774 + ... + 367960866.

Almost surely, 2^402180629760 is an apocalyptic number.

402180629760 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 402180629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893720947392).

402180629760 is an abundant number, since it is smaller than the sum of its proper divisors (1385261265024).

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

402180629760 is a wasteful number, since it uses less digits than its factorization.

402180629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 402180629760 in words is "four hundred two billion, one hundred eighty million, six hundred twenty-nine thousand, seven hundred sixty".