1001541040400 has 60 divisors (see below), whose sum is σ = 2412085878900. Its totient is φ = 399636848640.

The previous prime is 1001541040351. The next prime is 1001541040411. The reversal of 1001541040400 is 40401451001.

1001541040400 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 130835570944 + 870705469456 = 361712^2 + 933116^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2897345 + ... + 3224544.

It is an arithmetic number, because the mean of its divisors is an integer number (40201431315).

Almost surely, 2^{1001541040400} is an apocalyptic number.

1001541040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001541040400 is an abundant number, since it is smaller than the sum of its proper divisors (1410544838500).

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

1001541040400 is a wasteful number, since it uses less digits than its factorization.

1001541040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122316 (or 6122305 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1001541040400 its reverse (40401451001), we get a palindrome (1041942491401).

The spelling of 1001541040400 in words is "one trillion, one billion, five hundred forty-one million, forty thousand, four hundred".