154021000110400 has 336 divisors, whose sum is σ = 397958692584960. Its totient is φ = 58593623040000.

The previous prime is 154021000110389. The next prime is 154021000110533. The reversal of 154021000110400 is 4011000120451.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15746953510 + ... + 15746963290.

Almost surely, 2^{154021000110400} is an apocalyptic number.

154021000110400 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 154021000110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198979346292480).

154021000110400 is an abundant number, since it is smaller than the sum of its proper divisors (243937692474560).

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

154021000110400 is a wasteful number, since it uses less digits than its factorization.

154021000110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15274 (or 15259 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 154021000110400 its reverse (4011000120451), we get a palindrome (158032000230851).

The spelling of 154021000110400 in words is "one hundred fifty-four trillion, twenty-one billion, one hundred ten thousand, four hundred".