10405401534 has 192 divisors, whose sum is σ = 26818928640. Its totient is φ = 2983780800.

The previous prime is 10405401511. The next prime is 10405401541. The reversal of 10405401534 is 43510450401.

It is a happy number.

10405401534 is a `hidden beast` number, since 104 + 0 + 540 + 15 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10405401498 and 10405401507.

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, 9519492 + ... + 9520584.

It is an arithmetic number, because the mean of its divisors is an integer number (139681920).

Almost surely, 2^10405401534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10405401534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13409464320).

10405401534 is an abundant number, since it is smaller than the sum of its proper divisors (16413527106).

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

10405401534 is a wasteful number, since it uses less digits than its factorization.

10405401534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10405401534 its reverse (43510450401), we get a palindrome (53915851935).

The spelling of 10405401534 in words is "ten billion, four hundred five million, four hundred one thousand, five hundred thirty-four".