1054237663400 has 48 divisors (see below), whose sum is σ = 2595285079740. Its totient is φ = 396889472000.

The previous prime is 1054237663399. The next prime is 1054237663403. The reversal of 1054237663400 is 43667324501.

1054237663400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 838590736516 + 215646926884 = 915746^2 + 464378^2 .

It is a super-4 number, since 4×1054237663400⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1054237663403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155031551 + ... + 155038350.

Almost surely, 2^{1054237663400} is an apocalyptic number.

1054237663400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054237663400 is an abundant number, since it is smaller than the sum of its proper divisors (1541047416340).

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

1054237663400 is a wasteful number, since it uses less digits than its factorization.

1054237663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310069934 (or 310069925 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 1054237663400 in words is "one trillion, fifty-four billion, two hundred thirty-seven million, six hundred sixty-three thousand, four hundred".