400148821872 has 600 divisors, whose sum is σ = 1274756044320. Its totient is φ = 120913689600.

The previous prime is 400148821819. The next prime is 400148821879. The reversal of 400148821872 is 278128841004.

400148821872 is a `hidden beast` number, since 400 + 148 + 8 + 21 + 87 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400148821879) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1747374654 + ... + 1747374882.

Almost surely, 2^400148821872 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 400148821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637378022160).

400148821872 is an abundant number, since it is smaller than the sum of its proper divisors (874607222448).

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

400148821872 is a wasteful number, since it uses less digits than its factorization.

400148821872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 400148821872 in words is "four hundred billion, one hundred forty-eight million, eight hundred twenty-one thousand, eight hundred seventy-two".