46836541440 has 768 divisors, whose sum is σ = 182612102400. Its totient is φ = 11317542912.

The previous prime is 46836541417. The next prime is 46836541447. The reversal of 46836541440 is 4414563864.

46836541440 is a `hidden beast` number, since 4 + 68 + 3 + 6 + 541 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×46836541440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (46836541447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298321842 + ... + 298321998.

It is an arithmetic number, because the mean of its divisors is an integer number (237776175).

Almost surely, 2^46836541440 is an apocalyptic number.

46836541440 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 46836541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91306051200).

46836541440 is an abundant number, since it is smaller than the sum of its proper divisors (135775560960).

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

46836541440 is a wasteful number, since it uses less digits than its factorization.

46836541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 46836541440 in words is "forty-six billion, eight hundred thirty-six million, five hundred forty-one thousand, four hundred forty".