1048495622400 has 378 divisors, whose sum is σ = 3891023087490. Its totient is φ = 279597588480.

The previous prime is 1048495622371. The next prime is 1048495622407. The reversal of 1048495622400 is 42265948401.

It is a happy number.

1048495622400 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 49 + 562 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 97823821824 + 950671800576 = 312768^2 + 975024^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1048495622407) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 4553236 + ... + 4777964.

Almost surely, 2^{1048495622400} is an apocalyptic number.

1048495622400 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 1048495622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945511543745).

1048495622400 is an abundant number, since it is smaller than the sum of its proper divisors (2842527465090).

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

1048495622400 is an frugal number, since it uses more digits than its factorization.

1048495622400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224773 (or 224739 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1048495622400 in words is "one trillion, forty-eight billion, four hundred ninety-five million, six hundred twenty-two thousand, four hundred".