150055001420400 has 480 divisors, whose sum is σ = 537553201536000. Its totient is φ = 39754972938240.

The previous prime is 150055001420381. The next prime is 150055001420431. The reversal of 150055001420400 is 4024100550051.

150055001420400 is a `hidden beast` number, since 1 + 50 + 0 + 550 + 0 + 1 + 4 + 20 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5490673936 + ... + 5490701264.

It is an arithmetic number, because the mean of its divisors is an integer number (1119902503200).

Almost surely, 2^{150055001420400} is an apocalyptic number.

150055001420400 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 150055001420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268776600768000).

150055001420400 is an abundant number, since it is smaller than the sum of its proper divisors (387498200115600).

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

150055001420400 is a wasteful number, since it uses less digits than its factorization.

150055001420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30638 (or 30621 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 150055001420400 its reverse (4024100550051), we get a palindrome (154079101970451).

The spelling of 150055001420400 in words is "one hundred fifty trillion, fifty-five billion, one million, four hundred twenty thousand, four hundred".