46162135040 has 384 divisors, whose sum is σ = 133739424000. Its totient is φ = 14957150208.

The previous prime is 46162135037. The next prime is 46162135043. The reversal of 46162135040 is 4053126164.

It is an interprime number because it is at equal distance from previous prime (46162135037) and next prime (46162135043).

It is a super-2 number, since 2×46162135040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 46162134988 and 46162135006.

It is not an unprimeable number, because it can be changed into a prime (46162135043) 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, 110171951 + ... + 110172369.

It is an arithmetic number, because the mean of its divisors is an integer number (348279750).

Almost surely, 2^46162135040 is an apocalyptic number.

46162135040 is a gapful number since it is divisible by the number (40) 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 46162135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66869712000).

46162135040 is an abundant number, since it is smaller than the sum of its proper divisors (87577288960).

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

46162135040 is a wasteful number, since it uses less digits than its factorization.

46162135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 46162135040 in words is "forty-six billion, one hundred sixty-two million, one hundred thirty-five thousand, forty".