400553153013312 has 448 divisors, whose sum is σ = 1289903400172800. Its totient is φ = 121148869017600.

The previous prime is 400553153013289. The next prime is 400553153013313. The reversal of 400553153013312 is 213310351355004.

400553153013312 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 5 + 3 + 15 + 301 + 331 + 2 = 666.

It is a super-2 number, since 2×400553153013312² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (400553153013313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314737048 + ... + 316007144.

It is an arithmetic number, because the mean of its divisors is an integer number (2879248661100).

Almost surely, 2^{400553153013312} 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 400553153013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644951700086400).

400553153013312 is an abundant number, since it is smaller than the sum of its proper divisors (889350247159488).

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

400553153013312 is a wasteful number, since it uses less digits than its factorization.

400553153013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270371 (or 1270355 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 400553153013312 in words is "four hundred trillion, five hundred fifty-three billion, one hundred fifty-three million, thirteen thousand, three hundred twelve".