400098549760 has 672 divisors, whose sum is σ = 1243367470080. Its totient is φ = 120781799424.

The previous prime is 400098549727. The next prime is 400098549797. The reversal of 400098549760 is 67945890004.

It is a happy number.

It is a super-3 number, since 3×400098549760³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 400098549698 and 400098549707.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1114480461 + ... + 1114480819.

Almost surely, 2^400098549760 is an apocalyptic number.

400098549760 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 400098549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621683735040).

400098549760 is an abundant number, since it is smaller than the sum of its proper divisors (843268920320).

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

400098549760 is a wasteful number, since it uses less digits than its factorization.

400098549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 400098549760 in words is "four hundred billion, ninety-eight million, five hundred forty-nine thousand, seven hundred sixty".