351525401040 has 80 divisors (see below), whose sum is σ = 1188795001536. Its totient is φ = 85218278400.

The previous prime is 351525401033. The next prime is 351525401057. The reversal of 351525401040 is 40104525153.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 351525400989 and 351525401007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66574141 + ... + 66579420.

Almost surely, 2^351525401040 is an apocalyptic number.

351525401040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

351525401040 is an abundant number, since it is smaller than the sum of its proper divisors (837269600496).

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

351525401040 is a wasteful number, since it uses less digits than its factorization.

351525401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133153588 (or 133153582 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 351525401040 its reverse (40104525153), we get a palindrome (391629926193).

The spelling of 351525401040 in words is "three hundred fifty-one billion, five hundred twenty-five million, four hundred one thousand, forty".