401234615450152 has 128 divisors (see below), whose sum is σ = 832497578409600. Its totient is φ = 179777001600000.

The previous prime is 401234615450077. The next prime is 401234615450153. The reversal of 401234615450152 is 251054516432104.

It is a super-3 number, since 3×401234615450152³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401234615450099 and 401234615450108.

It is not an unprimeable number, because it can be changed into a prime (401234615450153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1837138174 + ... + 1837356562.

It is an arithmetic number, because the mean of its divisors is an integer number (6503887331325).

Almost surely, 2^{401234615450152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401234615450152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416248789204800).

401234615450152 is an abundant number, since it is smaller than the sum of its proper divisors (431262962959448).

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

401234615450152 is a wasteful number, since it uses less digits than its factorization.

401234615450152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219419 (or 219415 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 401234615450152 in words is "four hundred one trillion, two hundred thirty-four billion, six hundred fifteen million, four hundred fifty thousand, one hundred fifty-two".