1000550480400 has 960 divisors, whose sum is σ = 3952247040000. Its totient is φ = 239272704000.

The previous prime is 1000550480399. The next prime is 1000550480407. The reversal of 1000550480400 is 40840550001.

1000550480400 is a `hidden beast` number, since 100 + 0 + 550 + 4 + 8 + 0 + 4 + 0 + 0 = 666.

1000550480400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000550480400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1000550480407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 476678551 + ... + 476680649.

It is an arithmetic number, because the mean of its divisors is an integer number (4116924000).

Almost surely, 2^{1000550480400} is an apocalyptic number.

1000550480400 is a gapful number since it is divisible by the number (10) 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 1000550480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976123520000).

1000550480400 is an abundant number, since it is smaller than the sum of its proper divisors (2951696559600).

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

1000550480400 is a wasteful number, since it uses less digits than its factorization.

1000550480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 1000550480400 in words is "one trillion, five hundred fifty million, four hundred eighty thousand, four hundred".