150026701440 has 1024 divisors, whose sum is σ = 623607828480. Its totient is φ = 29776281600.

The previous prime is 150026701397. The next prime is 150026701453. The reversal of 150026701440 is 44107620051.

It is a super-2 number, since 2×150026701440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150026701398 and 150026701407.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 321256087 + ... + 321256553.

It is an arithmetic number, because the mean of its divisors is an integer number (608992020).

Almost surely, 2^150026701440 is an apocalyptic number.

150026701440 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 150026701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311803914240).

150026701440 is an abundant number, since it is smaller than the sum of its proper divisors (473581127040).

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

150026701440 is a wasteful number, since it uses less digits than its factorization.

150026701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 150026701440 in words is "one hundred fifty billion, twenty-six million, seven hundred one thousand, four hundred forty".